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Finding the Fourth Proportional to 31,737.60, 47,606.40 and 20,102.40

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Solution

The fourth proportional to 31,737.60, 47,606.40 and 20,102.40 is: 30,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.60 : 47,606.40 = 20,102.40 : x
  2. Step 2: Convert to fraction form
    31,737.60/47,606.40 = 20,102.40/x
  3. Step 3: Cross multiply
    31,737.60x = 47,606.40 × 20,102.40
  4. Step 4: Simplify right side
    31,737.60x = 957,002,895.36
  5. Step 5: Solve for x
    x = 957,002,895.36/31,737.60
  6. Step 6: Final answer
    x = 30,153.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.