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Finding the Fourth Proportional to 87,785.57, 121,143.20 and 47,498.45

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Solution

The fourth proportional to 87,785.57, 121,143.20 and 47,498.45 is: 65,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,785.57 : 121,143.20 = 47,498.45 : x
  2. Step 2: Convert to fraction form
    87,785.57/121,143.20 = 47,498.45/x
  3. Step 3: Cross multiply
    87,785.57x = 121,143.20 × 47,498.45
  4. Step 4: Simplify right side
    87,785.57x = 5,754,113,990.55
  5. Step 5: Solve for x
    x = 5,754,113,990.55/87,785.57
  6. Step 6: Final answer
    x = 65,547.38

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Why These Related Problems?

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