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Finding the Fourth Proportional to 31,924.53, 47,881.33 and 8,545.50

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Solution

The fourth proportional to 31,924.53, 47,881.33 and 8,545.50 is: 12,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.53 : 47,881.33 = 8,545.50 : x
  2. Step 2: Convert to fraction form
    31,924.53/47,881.33 = 8,545.50/x
  3. Step 3: Cross multiply
    31,924.53x = 47,881.33 × 8,545.50
  4. Step 4: Simplify right side
    31,924.53x = 409,169,884.15
  5. Step 5: Solve for x
    x = 409,169,884.15/31,924.53
  6. Step 6: Final answer
    x = 12,816.79

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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.