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Finding the Fourth Proportional to 87,196.50, 130,814.25 and 31,792.50

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Solution

The fourth proportional to 87,196.50, 130,814.25 and 31,792.50 is: 47,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,196.50 : 130,814.25 = 31,792.50 : x
  2. Step 2: Convert to fraction form
    87,196.50/130,814.25 = 31,792.50/x
  3. Step 3: Cross multiply
    87,196.50x = 130,814.25 × 31,792.50
  4. Step 4: Simplify right side
    87,196.50x = 4,158,912,043.13
  5. Step 5: Solve for x
    x = 4,158,912,043.13/87,196.50
  6. Step 6: Final answer
    x = 47,695.86

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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.