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Finding the Fourth Proportional to 64,104.60, 96,128.10 and 24,648.60

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Solution

The fourth proportional to 64,104.60, 96,128.10 and 24,648.60 is: 36,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,104.60 : 96,128.10 = 24,648.60 : x
  2. Step 2: Convert to fraction form
    64,104.60/96,128.10 = 24,648.60/x
  3. Step 3: Cross multiply
    64,104.60x = 96,128.10 × 24,648.60
  4. Step 4: Simplify right side
    64,104.60x = 2,369,423,085.66
  5. Step 5: Solve for x
    x = 2,369,423,085.66/64,104.60
  6. Step 6: Final answer
    x = 36,961.83

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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.