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Finding the Fourth Proportional to 96,332.76, 132,944.22 and 53,892

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Solution

The fourth proportional to 96,332.76, 132,944.22 and 53,892 is: 74,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,332.76 : 132,944.22 = 53,892 : x
  2. Step 2: Convert to fraction form
    96,332.76/132,944.22 = 53,892/x
  3. Step 3: Cross multiply
    96,332.76x = 132,944.22 × 53,892
  4. Step 4: Simplify right side
    96,332.76x = 7,164,629,904.24
  5. Step 5: Solve for x
    x = 7,164,629,904.24/96,332.76
  6. Step 6: Final answer
    x = 74,373.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.