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Finding the Fourth Proportional to 87,098.46, 130,317.36 and 51,578.84

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Solution

The fourth proportional to 87,098.46, 130,317.36 and 51,578.84 is: 77,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,098.46 : 130,317.36 = 51,578.84 : x
  2. Step 2: Convert to fraction form
    87,098.46/130,317.36 = 51,578.84/x
  3. Step 3: Cross multiply
    87,098.46x = 130,317.36 × 51,578.84
  4. Step 4: Simplify right side
    87,098.46x = 6,721,618,393.04
  5. Step 5: Solve for x
    x = 6,721,618,393.04/87,098.46
  6. Step 6: Final answer
    x = 77,172.65

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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.