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Finding the Fourth Proportional to 34,882.86, 52,324.29 and 10,258.86

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Solution

The fourth proportional to 34,882.86, 52,324.29 and 10,258.86 is: 15,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,882.86 : 52,324.29 = 10,258.86 : x
  2. Step 2: Convert to fraction form
    34,882.86/52,324.29 = 10,258.86/x
  3. Step 3: Cross multiply
    34,882.86x = 52,324.29 × 10,258.86
  4. Step 4: Simplify right side
    34,882.86x = 536,787,565.71
  5. Step 5: Solve for x
    x = 536,787,565.71/34,882.86
  6. Step 6: Final answer
    x = 15,388.29

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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.