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Finding the Fourth Proportional to 82,726.85, 124,101.72 and 26,553.76

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Solution

The fourth proportional to 82,726.85, 124,101.72 and 26,553.76 is: 39,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,726.85 : 124,101.72 = 26,553.76 : x
  2. Step 2: Convert to fraction form
    82,726.85/124,101.72 = 26,553.76/x
  3. Step 3: Cross multiply
    82,726.85x = 124,101.72 × 26,553.76
  4. Step 4: Simplify right side
    82,726.85x = 3,295,366,978.21
  5. Step 5: Solve for x
    x = 3,295,366,978.21/82,726.85
  6. Step 6: Final answer
    x = 39,834.31

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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.