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Finding the Fourth Proportional to 32,672.16, 45,087.84 and 17,768.16

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Solution

The fourth proportional to 32,672.16, 45,087.84 and 17,768.16 is: 24,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672.16 : 45,087.84 = 17,768.16 : x
  2. Step 2: Convert to fraction form
    32,672.16/45,087.84 = 17,768.16/x
  3. Step 3: Cross multiply
    32,672.16x = 45,087.84 × 17,768.16
  4. Step 4: Simplify right side
    32,672.16x = 801,127,955.17
  5. Step 5: Solve for x
    x = 801,127,955.17/32,672.16
  6. Step 6: Final answer
    x = 24,520.20

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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.