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Finding the Fourth Proportional to 48,098.80, 72,099.60 and 21,822.40

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Solution

The fourth proportional to 48,098.80, 72,099.60 and 21,822.40 is: 32,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,098.80 : 72,099.60 = 21,822.40 : x
  2. Step 2: Convert to fraction form
    48,098.80/72,099.60 = 21,822.40/x
  3. Step 3: Cross multiply
    48,098.80x = 72,099.60 × 21,822.40
  4. Step 4: Simplify right side
    48,098.80x = 1,573,386,311.04
  5. Step 5: Solve for x
    x = 1,573,386,311.04/48,098.80
  6. Step 6: Final answer
    x = 32,711.55

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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.