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Finding the Fourth Proportional to 32,442, 44,776.44 and 18,295.08

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Solution

The fourth proportional to 32,442, 44,776.44 and 18,295.08 is: 25,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442 : 44,776.44 = 18,295.08 : x
  2. Step 2: Convert to fraction form
    32,442/44,776.44 = 18,295.08/x
  3. Step 3: Cross multiply
    32,442x = 44,776.44 × 18,295.08
  4. Step 4: Simplify right side
    32,442x = 819,188,551.92
  5. Step 5: Solve for x
    x = 819,188,551.92/32,442
  6. Step 6: Final answer
    x = 25,250.86

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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.