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Finding the Fourth Proportional to 31,887.44, 47,831.52 and 9,701

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Solution

The fourth proportional to 31,887.44, 47,831.52 and 9,701 is: 14,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,887.44 : 47,831.52 = 9,701 : x
  2. Step 2: Convert to fraction form
    31,887.44/47,831.52 = 9,701/x
  3. Step 3: Cross multiply
    31,887.44x = 47,831.52 × 9,701
  4. Step 4: Simplify right side
    31,887.44x = 464,013,575.52
  5. Step 5: Solve for x
    x = 464,013,575.52/31,887.44
  6. Step 6: Final answer
    x = 14,551.61

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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.