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Finding the Fourth Proportional to 72,098, 108,147 and 22,850

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Solution

The fourth proportional to 72,098, 108,147 and 22,850 is: 34,275

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,098 : 108,147 = 22,850 : x
  2. Step 2: Convert to fraction form
    72,098/108,147 = 22,850/x
  3. Step 3: Cross multiply
    72,098x = 108,147 × 22,850
  4. Step 4: Simplify right side
    72,098x = 2,471,158,950
  5. Step 5: Solve for x
    x = 2,471,158,950/72,098
  6. Step 6: Final answer
    x = 34,275

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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.