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Finding the Fourth Proportional to 32,041.29, 44,217.06 and 17,894.64

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Solution

The fourth proportional to 32,041.29, 44,217.06 and 17,894.64 is: 24,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.29 : 44,217.06 = 17,894.64 : x
  2. Step 2: Convert to fraction form
    32,041.29/44,217.06 = 17,894.64/x
  3. Step 3: Cross multiply
    32,041.29x = 44,217.06 × 17,894.64
  4. Step 4: Simplify right side
    32,041.29x = 791,248,370.56
  5. Step 5: Solve for x
    x = 791,248,370.56/32,041.29
  6. Step 6: Final answer
    x = 24,694.65

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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.