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Finding the Fourth Proportional to 64,489.40, 96,723.14 and 29,420.86

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Solution

The fourth proportional to 64,489.40, 96,723.14 and 29,420.86 is: 44,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,489.40 : 96,723.14 = 29,420.86 : x
  2. Step 2: Convert to fraction form
    64,489.40/96,723.14 = 29,420.86/x
  3. Step 3: Cross multiply
    64,489.40x = 96,723.14 × 29,420.86
  4. Step 4: Simplify right side
    64,489.40x = 2,845,677,960.70
  5. Step 5: Solve for x
    x = 2,845,677,960.70/64,489.40
  6. Step 6: Final answer
    x = 44,126.29

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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.