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Finding the Fourth Proportional to 87,217.50, 130,827.48 and 24,888

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Solution

The fourth proportional to 87,217.50, 130,827.48 and 24,888 is: 37,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,217.50 : 130,827.48 = 24,888 : x
  2. Step 2: Convert to fraction form
    87,217.50/130,827.48 = 24,888/x
  3. Step 3: Cross multiply
    87,217.50x = 130,827.48 × 24,888
  4. Step 4: Simplify right side
    87,217.50x = 3,256,034,322.24
  5. Step 5: Solve for x
    x = 3,256,034,322.24/87,217.50
  6. Step 6: Final answer
    x = 37,332.35

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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.