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Finding the Fourth Proportional to 32,488.57, 48,738.93 and 10,295.99

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Solution

The fourth proportional to 32,488.57, 48,738.93 and 10,295.99 is: 15,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.57 : 48,738.93 = 10,295.99 : x
  2. Step 2: Convert to fraction form
    32,488.57/48,738.93 = 10,295.99/x
  3. Step 3: Cross multiply
    32,488.57x = 48,738.93 × 10,295.99
  4. Step 4: Simplify right side
    32,488.57x = 501,815,614.61
  5. Step 5: Solve for x
    x = 501,815,614.61/32,488.57
  6. Step 6: Final answer
    x = 15,445.91

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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.