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Finding the Fourth Proportional to 54,961,846.80, 82,442,770.20 and 31,909,117.20

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Solution

The fourth proportional to 54,961,846.80, 82,442,770.20 and 31,909,117.20 is: 47,863,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,961,846.80 : 82,442,770.20 = 31,909,117.20 : x
  2. Step 2: Convert to fraction form
    54,961,846.80/82,442,770.20 = 31,909,117.20/x
  3. Step 3: Cross multiply
    54,961,846.80x = 82,442,770.20 × 31,909,117.20
  4. Step 4: Simplify right side
    54,961,846.80x = 2,630,676,016,604,467.50
  5. Step 5: Solve for x
    x = 2,630,676,016,604,467.50/54,961,846.80
  6. Step 6: Final answer
    x = 47,863,675.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.