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Finding the Fourth Proportional to 71,177.13, 106,729.65 and 23,775.32

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Solution

The fourth proportional to 71,177.13, 106,729.65 and 23,775.32 is: 35,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,177.13 : 106,729.65 = 23,775.32 : x
  2. Step 2: Convert to fraction form
    71,177.13/106,729.65 = 23,775.32/x
  3. Step 3: Cross multiply
    71,177.13x = 106,729.65 × 23,775.32
  4. Step 4: Simplify right side
    71,177.13x = 2,537,531,849.06
  5. Step 5: Solve for x
    x = 2,537,531,849.06/71,177.13
  6. Step 6: Final answer
    x = 35,650.94

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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.