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Finding the Fourth Proportional to 31,437, 47,161.34 and 10,378.52

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Solution

The fourth proportional to 31,437, 47,161.34 and 10,378.52 is: 15,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,437 : 47,161.34 = 10,378.52 : x
  2. Step 2: Convert to fraction form
    31,437/47,161.34 = 10,378.52/x
  3. Step 3: Cross multiply
    31,437x = 47,161.34 × 10,378.52
  4. Step 4: Simplify right side
    31,437x = 489,464,910.42
  5. Step 5: Solve for x
    x = 489,464,910.42/31,437
  6. Step 6: Final answer
    x = 15,569.71

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