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Finding the Fourth Proportional to 96,658.56, 144,981.36 and 26,532

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Solution

The fourth proportional to 96,658.56, 144,981.36 and 26,532 is: 39,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,658.56 : 144,981.36 = 26,532 : x
  2. Step 2: Convert to fraction form
    96,658.56/144,981.36 = 26,532/x
  3. Step 3: Cross multiply
    96,658.56x = 144,981.36 × 26,532
  4. Step 4: Simplify right side
    96,658.56x = 3,846,645,443.52
  5. Step 5: Solve for x
    x = 3,846,645,443.52/96,658.56
  6. Step 6: Final answer
    x = 39,796.22

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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.