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Finding the Fourth Proportional to 32,419.38, 44,738.42 and 18,276.78

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Solution

The fourth proportional to 32,419.38, 44,738.42 and 18,276.78 is: 25,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.38 : 44,738.42 = 18,276.78 : x
  2. Step 2: Convert to fraction form
    32,419.38/44,738.42 = 18,276.78/x
  3. Step 3: Cross multiply
    32,419.38x = 44,738.42 × 18,276.78
  4. Step 4: Simplify right side
    32,419.38x = 817,674,168.50
  5. Step 5: Solve for x
    x = 817,674,168.50/32,419.38
  6. Step 6: Final answer
    x = 25,221.77

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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.