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Finding the Fourth Proportional to 31,931.55, 47,899.49 and 9,746.73

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Solution

The fourth proportional to 31,931.55, 47,899.49 and 9,746.73 is: 14,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931.55 : 47,899.49 = 9,746.73 : x
  2. Step 2: Convert to fraction form
    31,931.55/47,899.49 = 9,746.73/x
  3. Step 3: Cross multiply
    31,931.55x = 47,899.49 × 9,746.73
  4. Step 4: Simplify right side
    31,931.55x = 466,863,347.43
  5. Step 5: Solve for x
    x = 466,863,347.43/31,931.55
  6. Step 6: Final answer
    x = 14,620.75

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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.