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Finding the Fourth Proportional to 32,003.52, 44,165.76 and 17,856

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Solution

The fourth proportional to 32,003.52, 44,165.76 and 17,856 is: 24,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.52 : 44,165.76 = 17,856 : x
  2. Step 2: Convert to fraction form
    32,003.52/44,165.76 = 17,856/x
  3. Step 3: Cross multiply
    32,003.52x = 44,165.76 × 17,856
  4. Step 4: Simplify right side
    32,003.52x = 788,623,810.56
  5. Step 5: Solve for x
    x = 788,623,810.56/32,003.52
  6. Step 6: Final answer
    x = 24,641.78

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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.