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Finding the Fourth Proportional to 99,116.92, 148,690.87 and 32,541.91

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Solution

The fourth proportional to 99,116.92, 148,690.87 and 32,541.91 is: 48,817.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,116.92 : 148,690.87 = 32,541.91 : x
  2. Step 2: Convert to fraction form
    99,116.92/148,690.87 = 32,541.91/x
  3. Step 3: Cross multiply
    99,116.92x = 148,690.87 × 32,541.91
  4. Step 4: Simplify right side
    99,116.92x = 4,838,684,639.33
  5. Step 5: Solve for x
    x = 4,838,684,639.33/99,116.92
  6. Step 6: Final answer
    x = 48,817.95

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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.