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Finding the Fourth Proportional to 31,672.61, 47,414.26 and 19,154.77

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Solution

The fourth proportional to 31,672.61, 47,414.26 and 19,154.77 is: 28,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.61 : 47,414.26 = 19,154.77 : x
  2. Step 2: Convert to fraction form
    31,672.61/47,414.26 = 19,154.77/x
  3. Step 3: Cross multiply
    31,672.61x = 47,414.26 × 19,154.77
  4. Step 4: Simplify right side
    31,672.61x = 908,209,150.43
  5. Step 5: Solve for x
    x = 908,209,150.43/31,672.61
  6. Step 6: Final answer
    x = 28,674.91

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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.