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Finding the Fourth Proportional to 48,102.40, 72,140.80 and 14,822.40

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Solution

The fourth proportional to 48,102.40, 72,140.80 and 14,822.40 is: 22,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102.40 : 72,140.80 = 14,822.40 : x
  2. Step 2: Convert to fraction form
    48,102.40/72,140.80 = 14,822.40/x
  3. Step 3: Cross multiply
    48,102.40x = 72,140.80 × 14,822.40
  4. Step 4: Simplify right side
    48,102.40x = 1,069,299,793.92
  5. Step 5: Solve for x
    x = 1,069,299,793.92/48,102.40
  6. Step 6: Final answer
    x = 22,229.66

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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.