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Finding the Fourth Proportional to 55,585.52, 76,721.52 and 34,352

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Solution

The fourth proportional to 55,585.52, 76,721.52 and 34,352 is: 47,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,585.52 : 76,721.52 = 34,352 : x
  2. Step 2: Convert to fraction form
    55,585.52/76,721.52 = 34,352/x
  3. Step 3: Cross multiply
    55,585.52x = 76,721.52 × 34,352
  4. Step 4: Simplify right side
    55,585.52x = 2,635,537,655.04
  5. Step 5: Solve for x
    x = 2,635,537,655.04/55,585.52
  6. Step 6: Final answer
    x = 47,414.10

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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.