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Finding the Fourth Proportional to 31,951.40, 47,690.53 and 29,981.48

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Solution

The fourth proportional to 31,951.40, 47,690.53 and 29,981.48 is: 44,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.40 : 47,690.53 = 29,981.48 : x
  2. Step 2: Convert to fraction form
    31,951.40/47,690.53 = 29,981.48/x
  3. Step 3: Cross multiply
    31,951.40x = 47,690.53 × 29,981.48
  4. Step 4: Simplify right side
    31,951.40x = 1,429,832,671.38
  5. Step 5: Solve for x
    x = 1,429,832,671.38/31,951.40
  6. Step 6: Final answer
    x = 44,750.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.