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Finding the Fourth Proportional to 32,031.38, 44,204.79 and 17,693.21

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Solution

The fourth proportional to 32,031.38, 44,204.79 and 17,693.21 is: 24,417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031.38 : 44,204.79 = 17,693.21 : x
  2. Step 2: Convert to fraction form
    32,031.38/44,204.79 = 17,693.21/x
  3. Step 3: Cross multiply
    32,031.38x = 44,204.79 × 17,693.21
  4. Step 4: Simplify right side
    32,031.38x = 782,124,632.48
  5. Step 5: Solve for x
    x = 782,124,632.48/32,031.38
  6. Step 6: Final answer
    x = 24,417.45

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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.