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Finding the Fourth Proportional to 32,768.46, 45,126.90 and 29,510.55

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Solution

The fourth proportional to 32,768.46, 45,126.90 and 29,510.55 is: 40,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.46 : 45,126.90 = 29,510.55 : x
  2. Step 2: Convert to fraction form
    32,768.46/45,126.90 = 29,510.55/x
  3. Step 3: Cross multiply
    32,768.46x = 45,126.90 × 29,510.55
  4. Step 4: Simplify right side
    32,768.46x = 1,331,719,638.80
  5. Step 5: Solve for x
    x = 1,331,719,638.80/32,768.46
  6. Step 6: Final answer
    x = 40,640.29

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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.