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Finding the Fourth Proportional to 32,038.50, 44,213.13 and 17,891.34

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Solution

The fourth proportional to 32,038.50, 44,213.13 and 17,891.34 is: 24,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.50 : 44,213.13 = 17,891.34 : x
  2. Step 2: Convert to fraction form
    32,038.50/44,213.13 = 17,891.34/x
  3. Step 3: Cross multiply
    32,038.50x = 44,213.13 × 17,891.34
  4. Step 4: Simplify right side
    32,038.50x = 791,032,141.29
  5. Step 5: Solve for x
    x = 791,032,141.29/32,038.50
  6. Step 6: Final answer
    x = 24,690.05

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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.