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Finding the Fourth Proportional to 31,806.42, 47,712.33 and 8,432.58

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Solution

The fourth proportional to 31,806.42, 47,712.33 and 8,432.58 is: 12,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.42 : 47,712.33 = 8,432.58 : x
  2. Step 2: Convert to fraction form
    31,806.42/47,712.33 = 8,432.58/x
  3. Step 3: Cross multiply
    31,806.42x = 47,712.33 × 8,432.58
  4. Step 4: Simplify right side
    31,806.42x = 402,338,039.71
  5. Step 5: Solve for x
    x = 402,338,039.71/31,806.42
  6. Step 6: Final answer
    x = 12,649.59

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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.