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Finding the Fourth Proportional to 32,592.70, 48,891.75 and 10,409.23

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Solution

The fourth proportional to 32,592.70, 48,891.75 and 10,409.23 is: 15,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592.70 : 48,891.75 = 10,409.23 : x
  2. Step 2: Convert to fraction form
    32,592.70/48,891.75 = 10,409.23/x
  3. Step 3: Cross multiply
    32,592.70x = 48,891.75 × 10,409.23
  4. Step 4: Simplify right side
    32,592.70x = 508,925,470.85
  5. Step 5: Solve for x
    x = 508,925,470.85/32,592.70
  6. Step 6: Final answer
    x = 15,614.71

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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.