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Finding the Fourth Proportional to 39,147.83, 54,024.15 and 21,242.83

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Solution

The fourth proportional to 39,147.83, 54,024.15 and 21,242.83 is: 29,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,147.83 : 54,024.15 = 21,242.83 : x
  2. Step 2: Convert to fraction form
    39,147.83/54,024.15 = 21,242.83/x
  3. Step 3: Cross multiply
    39,147.83x = 54,024.15 × 21,242.83
  4. Step 4: Simplify right side
    39,147.83x = 1,147,625,935.10
  5. Step 5: Solve for x
    x = 1,147,625,935.10/39,147.83
  6. Step 6: Final answer
    x = 29,315.19

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