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Finding the Fourth Proportional to 90,594.49, 135,930.13 and 48,463.54

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Solution

The fourth proportional to 90,594.49, 135,930.13 and 48,463.54 is: 72,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,594.49 : 135,930.13 = 48,463.54 : x
  2. Step 2: Convert to fraction form
    90,594.49/135,930.13 = 48,463.54/x
  3. Step 3: Cross multiply
    90,594.49x = 135,930.13 × 48,463.54
  4. Step 4: Simplify right side
    90,594.49x = 6,587,655,292.46
  5. Step 5: Solve for x
    x = 6,587,655,292.46/90,594.49
  6. Step 6: Final answer
    x = 72,715.85

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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.