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Finding the Fourth Proportional to 71,602.38, 98,811.29 and 39,774.24

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Solution

The fourth proportional to 71,602.38, 98,811.29 and 39,774.24 is: 54,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,602.38 : 98,811.29 = 39,774.24 : x
  2. Step 2: Convert to fraction form
    71,602.38/98,811.29 = 39,774.24/x
  3. Step 3: Cross multiply
    71,602.38x = 98,811.29 × 39,774.24
  4. Step 4: Simplify right side
    71,602.38x = 3,930,143,270.24
  5. Step 5: Solve for x
    x = 3,930,143,270.24/71,602.38
  6. Step 6: Final answer
    x = 54,888.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.