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Finding the Fourth Proportional to 97,680.52, 146,520.76 and 23,808.52

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Solution

The fourth proportional to 97,680.52, 146,520.76 and 23,808.52 is: 35,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,680.52 : 146,520.76 = 23,808.52 : x
  2. Step 2: Convert to fraction form
    97,680.52/146,520.76 = 23,808.52/x
  3. Step 3: Cross multiply
    97,680.52x = 146,520.76 × 23,808.52
  4. Step 4: Simplify right side
    97,680.52x = 3,488,442,444.88
  5. Step 5: Solve for x
    x = 3,488,442,444.88/97,680.52
  6. Step 6: Final answer
    x = 35,712.78

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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.