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Finding the Fourth Proportional to 32,178.56, 44,407.28 and 18,031.08

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Solution

The fourth proportional to 32,178.56, 44,407.28 and 18,031.08 is: 24,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.56 : 44,407.28 = 18,031.08 : x
  2. Step 2: Convert to fraction form
    32,178.56/44,407.28 = 18,031.08/x
  3. Step 3: Cross multiply
    32,178.56x = 44,407.28 × 18,031.08
  4. Step 4: Simplify right side
    32,178.56x = 800,711,218.26
  5. Step 5: Solve for x
    x = 800,711,218.26/32,178.56
  6. Step 6: Final answer
    x = 24,883.38

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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.