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Finding the Fourth Proportional to 72,234.38, 99,688.02 and 40,403.46

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Solution

The fourth proportional to 72,234.38, 99,688.02 and 40,403.46 is: 55,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,234.38 : 99,688.02 = 40,403.46 : x
  2. Step 2: Convert to fraction form
    72,234.38/99,688.02 = 40,403.46/x
  3. Step 3: Cross multiply
    72,234.38x = 99,688.02 × 40,403.46
  4. Step 4: Simplify right side
    72,234.38x = 4,027,740,928.55
  5. Step 5: Solve for x
    x = 4,027,740,928.55/72,234.38
  6. Step 6: Final answer
    x = 55,759.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.