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Finding the Fourth Proportional to 32,137.97, 48,238.13 and 15,509.71

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Solution

The fourth proportional to 32,137.97, 48,238.13 and 15,509.71 is: 23,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.97 : 48,238.13 = 15,509.71 : x
  2. Step 2: Convert to fraction form
    32,137.97/48,238.13 = 15,509.71/x
  3. Step 3: Cross multiply
    32,137.97x = 48,238.13 × 15,509.71
  4. Step 4: Simplify right side
    32,137.97x = 748,159,407.24
  5. Step 5: Solve for x
    x = 748,159,407.24/32,137.97
  6. Step 6: Final answer
    x = 23,279.61

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1.5x scale

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.