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Finding the Fourth Proportional to 31,381.89, 47,058.47 and 18,737.39

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Solution

The fourth proportional to 31,381.89, 47,058.47 and 18,737.39 is: 28,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.89 : 47,058.47 = 18,737.39 : x
  2. Step 2: Convert to fraction form
    31,381.89/47,058.47 = 18,737.39/x
  3. Step 3: Cross multiply
    31,381.89x = 47,058.47 × 18,737.39
  4. Step 4: Simplify right side
    31,381.89x = 881,752,576.21
  5. Step 5: Solve for x
    x = 881,752,576.21/31,381.89
  6. Step 6: Final answer
    x = 28,097.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.