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Finding the Fourth Proportional to 41,715, 57,566.70 and 24,948

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Solution

The fourth proportional to 41,715, 57,566.70 and 24,948 is: 34,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,715 : 57,566.70 = 24,948 : x
  2. Step 2: Convert to fraction form
    41,715/57,566.70 = 24,948/x
  3. Step 3: Cross multiply
    41,715x = 57,566.70 × 24,948
  4. Step 4: Simplify right side
    41,715x = 1,436,174,031.60
  5. Step 5: Solve for x
    x = 1,436,174,031.60/41,715
  6. Step 6: Final answer
    x = 34,428.24

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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.