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Finding the Fourth Proportional to 32,851.14, 45,334.59 and 17,947.14

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Solution

The fourth proportional to 32,851.14, 45,334.59 and 17,947.14 is: 24,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.14 : 45,334.59 = 17,947.14 : x
  2. Step 2: Convert to fraction form
    32,851.14/45,334.59 = 17,947.14/x
  3. Step 3: Cross multiply
    32,851.14x = 45,334.59 × 17,947.14
  4. Step 4: Simplify right side
    32,851.14x = 813,626,233.57
  5. Step 5: Solve for x
    x = 813,626,233.57/32,851.14
  6. Step 6: Final answer
    x = 24,767.06

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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.