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Finding the Fourth Proportional to 85,046.10, 127,569.15 and 29,629.14

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Solution

The fourth proportional to 85,046.10, 127,569.15 and 29,629.14 is: 44,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,046.10 : 127,569.15 = 29,629.14 : x
  2. Step 2: Convert to fraction form
    85,046.10/127,569.15 = 29,629.14/x
  3. Step 3: Cross multiply
    85,046.10x = 127,569.15 × 29,629.14
  4. Step 4: Simplify right side
    85,046.10x = 3,779,764,205.03
  5. Step 5: Solve for x
    x = 3,779,764,205.03/85,046.10
  6. Step 6: Final answer
    x = 44,443.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.