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Finding the Fourth Proportional to 55,815.98, 83,636.43 and 47,461.64

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Solution

The fourth proportional to 55,815.98, 83,636.43 and 47,461.64 is: 71,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,815.98 : 83,636.43 = 47,461.64 : x
  2. Step 2: Convert to fraction form
    55,815.98/83,636.43 = 47,461.64/x
  3. Step 3: Cross multiply
    55,815.98x = 83,636.43 × 47,461.64
  4. Step 4: Simplify right side
    55,815.98x = 3,969,521,713.36
  5. Step 5: Solve for x
    x = 3,969,521,713.36/55,815.98
  6. Step 6: Final answer
    x = 71,118.02

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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.