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Finding the Fourth Proportional to 34,941.12, 48,265.92 and 27,916.80

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Solution

The fourth proportional to 34,941.12, 48,265.92 and 27,916.80 is: 38,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,941.12 : 48,265.92 = 27,916.80 : x
  2. Step 2: Convert to fraction form
    34,941.12/48,265.92 = 27,916.80/x
  3. Step 3: Cross multiply
    34,941.12x = 48,265.92 × 27,916.80
  4. Step 4: Simplify right side
    34,941.12x = 1,347,430,035.46
  5. Step 5: Solve for x
    x = 1,347,430,035.46/34,941.12
  6. Step 6: Final answer
    x = 38,562.87

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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.