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Finding the Fourth Proportional to 32,671.50, 45,086.67 and 17,767.50

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Solution

The fourth proportional to 32,671.50, 45,086.67 and 17,767.50 is: 24,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.50 : 45,086.67 = 17,767.50 : x
  2. Step 2: Convert to fraction form
    32,671.50/45,086.67 = 17,767.50/x
  3. Step 3: Cross multiply
    32,671.50x = 45,086.67 × 17,767.50
  4. Step 4: Simplify right side
    32,671.50x = 801,077,409.23
  5. Step 5: Solve for x
    x = 801,077,409.23/32,671.50
  6. Step 6: Final answer
    x = 24,519.15

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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.