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Finding the Fourth Proportional to 59,738, 82,440.36 and 32,879.12

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Solution

The fourth proportional to 59,738, 82,440.36 and 32,879.12 is: 45,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,738 : 82,440.36 = 32,879.12 : x
  2. Step 2: Convert to fraction form
    59,738/82,440.36 = 32,879.12/x
  3. Step 3: Cross multiply
    59,738x = 82,440.36 × 32,879.12
  4. Step 4: Simplify right side
    59,738x = 2,710,566,489.28
  5. Step 5: Solve for x
    x = 2,710,566,489.28/59,738
  6. Step 6: Final answer
    x = 45,374.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.