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Finding the Fourth Proportional to 83,785.52, 115,577.88 and 53,102.48

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Solution

The fourth proportional to 83,785.52, 115,577.88 and 53,102.48 is: 73,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,785.52 : 115,577.88 = 53,102.48 : x
  2. Step 2: Convert to fraction form
    83,785.52/115,577.88 = 53,102.48/x
  3. Step 3: Cross multiply
    83,785.52x = 115,577.88 × 53,102.48
  4. Step 4: Simplify right side
    83,785.52x = 6,137,472,061.14
  5. Step 5: Solve for x
    x = 6,137,472,061.14/83,785.52
  6. Step 6: Final answer
    x = 73,252.18

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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.