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Finding the Fourth Proportional to 88,275.52, 132,371.66 and 32,076

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Solution

The fourth proportional to 88,275.52, 132,371.66 and 32,076 is: 48,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,275.52 : 132,371.66 = 32,076 : x
  2. Step 2: Convert to fraction form
    88,275.52/132,371.66 = 32,076/x
  3. Step 3: Cross multiply
    88,275.52x = 132,371.66 × 32,076
  4. Step 4: Simplify right side
    88,275.52x = 4,245,953,366.16
  5. Step 5: Solve for x
    x = 4,245,953,366.16/88,275.52
  6. Step 6: Final answer
    x = 48,098.88

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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.