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Finding the Fourth Proportional to 31,924.81, 47,887.25 and 9,737.01

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Solution

The fourth proportional to 31,924.81, 47,887.25 and 9,737.01 is: 14,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.81 : 47,887.25 = 9,737.01 : x
  2. Step 2: Convert to fraction form
    31,924.81/47,887.25 = 9,737.01/x
  3. Step 3: Cross multiply
    31,924.81x = 47,887.25 × 9,737.01
  4. Step 4: Simplify right side
    31,924.81x = 466,278,638.21
  5. Step 5: Solve for x
    x = 466,278,638.21/31,924.81
  6. Step 6: Final answer
    x = 14,605.53

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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.