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Finding the Fourth Proportional to 31,916.37, 47,874.48 and 9,729.93

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Solution

The fourth proportional to 31,916.37, 47,874.48 and 9,729.93 is: 14,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.37 : 47,874.48 = 9,729.93 : x
  2. Step 2: Convert to fraction form
    31,916.37/47,874.48 = 9,729.93/x
  3. Step 3: Cross multiply
    31,916.37x = 47,874.48 × 9,729.93
  4. Step 4: Simplify right side
    31,916.37x = 465,815,339.19
  5. Step 5: Solve for x
    x = 465,815,339.19/31,916.37
  6. Step 6: Final answer
    x = 14,594.87

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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.