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Finding the Fourth Proportional to 61,414.52, 84,751.88 and 34,557.06

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Solution

The fourth proportional to 61,414.52, 84,751.88 and 34,557.06 is: 47,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,414.52 : 84,751.88 = 34,557.06 : x
  2. Step 2: Convert to fraction form
    61,414.52/84,751.88 = 34,557.06/x
  3. Step 3: Cross multiply
    61,414.52x = 84,751.88 × 34,557.06
  4. Step 4: Simplify right side
    61,414.52x = 2,928,775,205.73
  5. Step 5: Solve for x
    x = 2,928,775,205.73/61,414.52
  6. Step 6: Final answer
    x = 47,688.65

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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.