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Finding the Fourth Proportional to 62,283.76, 85,954.17 and 35,431

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Solution

The fourth proportional to 62,283.76, 85,954.17 and 35,431 is: 48,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,283.76 : 85,954.17 = 35,431 : x
  2. Step 2: Convert to fraction form
    62,283.76/85,954.17 = 35,431/x
  3. Step 3: Cross multiply
    62,283.76x = 85,954.17 × 35,431
  4. Step 4: Simplify right side
    62,283.76x = 3,045,442,197.27
  5. Step 5: Solve for x
    x = 3,045,442,197.27/62,283.76
  6. Step 6: Final answer
    x = 48,896.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.