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Finding the Fourth Proportional to 64,434.56, 96,645.28 and 29,364.80

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Solution

The fourth proportional to 64,434.56, 96,645.28 and 29,364.80 is: 44,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,434.56 : 96,645.28 = 29,364.80 : x
  2. Step 2: Convert to fraction form
    64,434.56/96,645.28 = 29,364.80/x
  3. Step 3: Cross multiply
    64,434.56x = 96,645.28 × 29,364.80
  4. Step 4: Simplify right side
    64,434.56x = 2,837,969,318.14
  5. Step 5: Solve for x
    x = 2,837,969,318.14/64,434.56
  6. Step 6: Final answer
    x = 44,044.21

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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.