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Finding the Fourth Proportional to 99,098.92, 148,671.08 and 42,948.46

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Solution

The fourth proportional to 99,098.92, 148,671.08 and 42,948.46 is: 64,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,098.92 : 148,671.08 = 42,948.46 : x
  2. Step 2: Convert to fraction form
    99,098.92/148,671.08 = 42,948.46/x
  3. Step 3: Cross multiply
    99,098.92x = 148,671.08 × 42,948.46
  4. Step 4: Simplify right side
    99,098.92x = 6,385,193,932.54
  5. Step 5: Solve for x
    x = 6,385,193,932.54/99,098.92
  6. Step 6: Final answer
    x = 64,432.53

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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.