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Finding the Fourth Proportional to 98,442.19, 147,677.78 and 31,860.19

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Solution

The fourth proportional to 98,442.19, 147,677.78 and 31,860.19 is: 47,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,442.19 : 147,677.78 = 31,860.19 : x
  2. Step 2: Convert to fraction form
    98,442.19/147,677.78 = 31,860.19/x
  3. Step 3: Cross multiply
    98,442.19x = 147,677.78 × 31,860.19
  4. Step 4: Simplify right side
    98,442.19x = 4,705,042,129.58
  5. Step 5: Solve for x
    x = 4,705,042,129.58/98,442.19
  6. Step 6: Final answer
    x = 47,794.98

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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.