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Finding the Fourth Proportional to 61,729.17, 85,185.03 and 34,505.12

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Solution

The fourth proportional to 61,729.17, 85,185.03 and 34,505.12 is: 47,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,729.17 : 85,185.03 = 34,505.12 : x
  2. Step 2: Convert to fraction form
    61,729.17/85,185.03 = 34,505.12/x
  3. Step 3: Cross multiply
    61,729.17x = 85,185.03 × 34,505.12
  4. Step 4: Simplify right side
    61,729.17x = 2,939,319,296.87
  5. Step 5: Solve for x
    x = 2,939,319,296.87/61,729.17
  6. Step 6: Final answer
    x = 47,616.38

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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.