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Finding the Fourth Proportional to 31,089.78, 42,909.42 and 18,342.18

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Solution

The fourth proportional to 31,089.78, 42,909.42 and 18,342.18 is: 25,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089.78 : 42,909.42 = 18,342.18 : x
  2. Step 2: Convert to fraction form
    31,089.78/42,909.42 = 18,342.18/x
  3. Step 3: Cross multiply
    31,089.78x = 42,909.42 × 18,342.18
  4. Step 4: Simplify right side
    31,089.78x = 787,052,305.34
  5. Step 5: Solve for x
    x = 787,052,305.34/31,089.78
  6. Step 6: Final answer
    x = 25,315.47

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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.