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Finding the Fourth Proportional to 64,491.40, 96,726.14 and 29,422.86

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Solution

The fourth proportional to 64,491.40, 96,726.14 and 29,422.86 is: 44,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,491.40 : 96,726.14 = 29,422.86 : x
  2. Step 2: Convert to fraction form
    64,491.40/96,726.14 = 29,422.86/x
  3. Step 3: Cross multiply
    64,491.40x = 96,726.14 × 29,422.86
  4. Step 4: Simplify right side
    64,491.40x = 2,845,959,675.56
  5. Step 5: Solve for x
    x = 2,845,959,675.56/64,491.40
  6. Step 6: Final answer
    x = 44,129.29

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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.