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Finding the Fourth Proportional to 64,164.60, 96,218.10 and 24,708.60

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Solution

The fourth proportional to 64,164.60, 96,218.10 and 24,708.60 is: 37,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,164.60 : 96,218.10 = 24,708.60 : x
  2. Step 2: Convert to fraction form
    64,164.60/96,218.10 = 24,708.60/x
  3. Step 3: Cross multiply
    64,164.60x = 96,218.10 × 24,708.60
  4. Step 4: Simplify right side
    64,164.60x = 2,377,414,545.66
  5. Step 5: Solve for x
    x = 2,377,414,545.66/64,164.60
  6. Step 6: Final answer
    x = 37,051.81

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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.