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Finding the Fourth Proportional to 88,233, 132,275.08 and 38,275.47

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Solution

The fourth proportional to 88,233, 132,275.08 and 38,275.47 is: 57,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,233 : 132,275.08 = 38,275.47 : x
  2. Step 2: Convert to fraction form
    88,233/132,275.08 = 38,275.47/x
  3. Step 3: Cross multiply
    88,233x = 132,275.08 × 38,275.47
  4. Step 4: Simplify right side
    88,233x = 5,062,891,400.16
  5. Step 5: Solve for x
    x = 5,062,891,400.16/88,233
  6. Step 6: Final answer
    x = 57,380.93

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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.