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Finding the Fourth Proportional to 53,712.80, 80,537.20 and 32,951.20

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Solution

The fourth proportional to 53,712.80, 80,537.20 and 32,951.20 is: 49,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712.80 : 80,537.20 = 32,951.20 : x
  2. Step 2: Convert to fraction form
    53,712.80/80,537.20 = 32,951.20/x
  3. Step 3: Cross multiply
    53,712.80x = 80,537.20 × 32,951.20
  4. Step 4: Simplify right side
    53,712.80x = 2,653,797,384.64
  5. Step 5: Solve for x
    x = 2,653,797,384.64/53,712.80
  6. Step 6: Final answer
    x = 49,407.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.