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Finding the Fourth Proportional to 32,031.42, 44,201.91 and 17,881.50

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Solution

The fourth proportional to 32,031.42, 44,201.91 and 17,881.50 is: 24,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.42 : 44,201.91 = 17,881.50 : x
  2. Step 2: Convert to fraction form
    32,031.42/44,201.91 = 17,881.50/x
  3. Step 3: Cross multiply
    32,031.42x = 44,201.91 × 17,881.50
  4. Step 4: Simplify right side
    32,031.42x = 790,396,453.67
  5. Step 5: Solve for x
    x = 790,396,453.67/32,031.42
  6. Step 6: Final answer
    x = 24,675.66

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