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Finding the Fourth Proportional to 97,668.10, 146,502.15 and 47,755.90

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Solution

The fourth proportional to 97,668.10, 146,502.15 and 47,755.90 is: 71,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,668.10 : 146,502.15 = 47,755.90 : x
  2. Step 2: Convert to fraction form
    97,668.10/146,502.15 = 47,755.90/x
  3. Step 3: Cross multiply
    97,668.10x = 146,502.15 × 47,755.90
  4. Step 4: Simplify right side
    97,668.10x = 6,996,342,025.19
  5. Step 5: Solve for x
    x = 6,996,342,025.19/97,668.10
  6. Step 6: Final answer
    x = 71,633.85

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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.