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Finding the Fourth Proportional to 32,038.66, 44,215.32 and 17,891.50

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Solution

The fourth proportional to 32,038.66, 44,215.32 and 17,891.50 is: 24,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.66 : 44,215.32 = 17,891.50 : x
  2. Step 2: Convert to fraction form
    32,038.66/44,215.32 = 17,891.50/x
  3. Step 3: Cross multiply
    32,038.66x = 44,215.32 × 17,891.50
  4. Step 4: Simplify right side
    32,038.66x = 791,078,397.78
  5. Step 5: Solve for x
    x = 791,078,397.78/32,038.66
  6. Step 6: Final answer
    x = 24,691.37

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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.