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Finding the Fourth Proportional to 57,348, 86,029.29 and 15,795

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Solution

The fourth proportional to 57,348, 86,029.29 and 15,795 is: 23,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,348 : 86,029.29 = 15,795 : x
  2. Step 2: Convert to fraction form
    57,348/86,029.29 = 15,795/x
  3. Step 3: Cross multiply
    57,348x = 86,029.29 × 15,795
  4. Step 4: Simplify right side
    57,348x = 1,358,832,635.55
  5. Step 5: Solve for x
    x = 1,358,832,635.55/57,348
  6. Step 6: Final answer
    x = 23,694.51

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Why These Related Problems?

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