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Finding the Fourth Proportional to 43,822.92, 65,737.98 and 12,658.44

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Solution

The fourth proportional to 43,822.92, 65,737.98 and 12,658.44 is: 18,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,822.92 : 65,737.98 = 12,658.44 : x
  2. Step 2: Convert to fraction form
    43,822.92/65,737.98 = 12,658.44/x
  3. Step 3: Cross multiply
    43,822.92x = 65,737.98 × 12,658.44
  4. Step 4: Simplify right side
    43,822.92x = 832,140,275.55
  5. Step 5: Solve for x
    x = 832,140,275.55/43,822.92
  6. Step 6: Final answer
    x = 18,988.70

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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.