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Finding the Fourth Proportional to 83,202.86, 114,828.02 and 49,222.29

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Solution

The fourth proportional to 83,202.86, 114,828.02 and 49,222.29 is: 67,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.86 : 114,828.02 = 49,222.29 : x
  2. Step 2: Convert to fraction form
    83,202.86/114,828.02 = 49,222.29/x
  3. Step 3: Cross multiply
    83,202.86x = 114,828.02 × 49,222.29
  4. Step 4: Simplify right side
    83,202.86x = 5,652,097,854.45
  5. Step 5: Solve for x
    x = 5,652,097,854.45/83,202.86
  6. Step 6: Final answer
    x = 67,931.54

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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.