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Finding the Fourth Proportional to 80,417.52, 120,607.92 and 30,503.16

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Solution

The fourth proportional to 80,417.52, 120,607.92 and 30,503.16 is: 45,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,417.52 : 120,607.92 = 30,503.16 : x
  2. Step 2: Convert to fraction form
    80,417.52/120,607.92 = 30,503.16/x
  3. Step 3: Cross multiply
    80,417.52x = 120,607.92 × 30,503.16
  4. Step 4: Simplify right side
    80,417.52x = 3,678,922,681.03
  5. Step 5: Solve for x
    x = 3,678,922,681.03/80,417.52
  6. Step 6: Final answer
    x = 45,747.78

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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.