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Finding the Fourth Proportional to 85,144.49, 127,732.22 and 35,197.46

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Solution

The fourth proportional to 85,144.49, 127,732.22 and 35,197.46 is: 52,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,144.49 : 127,732.22 = 35,197.46 : x
  2. Step 2: Convert to fraction form
    85,144.49/127,732.22 = 35,197.46/x
  3. Step 3: Cross multiply
    85,144.49x = 127,732.22 × 35,197.46
  4. Step 4: Simplify right side
    85,144.49x = 4,495,849,704.16
  5. Step 5: Solve for x
    x = 4,495,849,704.16/85,144.49
  6. Step 6: Final answer
    x = 52,802.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.