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Finding the Fourth Proportional to 32,675.44, 48,917.95 and 24,279.16

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Solution

The fourth proportional to 32,675.44, 48,917.95 and 24,279.16 is: 36,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,675.44 : 48,917.95 = 24,279.16 : x
  2. Step 2: Convert to fraction form
    32,675.44/48,917.95 = 24,279.16/x
  3. Step 3: Cross multiply
    32,675.44x = 48,917.95 × 24,279.16
  4. Step 4: Simplify right side
    32,675.44x = 1,187,686,505.56
  5. Step 5: Solve for x
    x = 1,187,686,505.56/32,675.44
  6. Step 6: Final answer
    x = 36,347.99

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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.