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Finding the Fourth Proportional to 32,264, 48,407.52 and 15,859.52

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Solution

The fourth proportional to 32,264, 48,407.52 and 15,859.52 is: 23,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264 : 48,407.52 = 15,859.52 : x
  2. Step 2: Convert to fraction form
    32,264/48,407.52 = 15,859.52/x
  3. Step 3: Cross multiply
    32,264x = 48,407.52 × 15,859.52
  4. Step 4: Simplify right side
    32,264x = 767,720,031.59
  5. Step 5: Solve for x
    x = 767,720,031.59/32,264
  6. Step 6: Final answer
    x = 23,794.94

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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.