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Finding the Fourth Proportional to 72,749, 109,123.62 and 20,158.61

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Solution

The fourth proportional to 72,749, 109,123.62 and 20,158.61 is: 30,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,749 : 109,123.62 = 20,158.61 : x
  2. Step 2: Convert to fraction form
    72,749/109,123.62 = 20,158.61/x
  3. Step 3: Cross multiply
    72,749x = 109,123.62 × 20,158.61
  4. Step 4: Simplify right side
    72,749x = 2,199,780,497.37
  5. Step 5: Solve for x
    x = 2,199,780,497.37/72,749
  6. Step 6: Final answer
    x = 30,237.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.