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Finding the Fourth Proportional to 31,885.14, 44,001.36 and 17,737.98

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Solution

The fourth proportional to 31,885.14, 44,001.36 and 17,737.98 is: 24,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.14 : 44,001.36 = 17,737.98 : x
  2. Step 2: Convert to fraction form
    31,885.14/44,001.36 = 17,737.98/x
  3. Step 3: Cross multiply
    31,885.14x = 44,001.36 × 17,737.98
  4. Step 4: Simplify right side
    31,885.14x = 780,495,243.65
  5. Step 5: Solve for x
    x = 780,495,243.65/31,885.14
  6. Step 6: Final answer
    x = 24,478.34

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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.