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Finding the Fourth Proportional to 40,098.29, 55,337.64 and 24,187.82

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Solution

The fourth proportional to 40,098.29, 55,337.64 and 24,187.82 is: 33,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,098.29 : 55,337.64 = 24,187.82 : x
  2. Step 2: Convert to fraction form
    40,098.29/55,337.64 = 24,187.82/x
  3. Step 3: Cross multiply
    40,098.29x = 55,337.64 × 24,187.82
  4. Step 4: Simplify right side
    40,098.29x = 1,338,496,875.54
  5. Step 5: Solve for x
    x = 1,338,496,875.54/40,098.29
  6. Step 6: Final answer
    x = 33,380.40

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