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Finding the Fourth Proportional to 77,098.30, 115,646.23 and 24,507.02

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Solution

The fourth proportional to 77,098.30, 115,646.23 and 24,507.02 is: 36,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.30 : 115,646.23 = 24,507.02 : x
  2. Step 2: Convert to fraction form
    77,098.30/115,646.23 = 24,507.02/x
  3. Step 3: Cross multiply
    77,098.30x = 115,646.23 × 24,507.02
  4. Step 4: Simplify right side
    77,098.30x = 2,834,144,791.28
  5. Step 5: Solve for x
    x = 2,834,144,791.28/77,098.30
  6. Step 6: Final answer
    x = 36,760.15

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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.