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Finding the Fourth Proportional to 76,065.76, 104,945.16 and 49,242.16

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Solution

The fourth proportional to 76,065.76, 104,945.16 and 49,242.16 is: 67,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,065.76 : 104,945.16 = 49,242.16 : x
  2. Step 2: Convert to fraction form
    76,065.76/104,945.16 = 49,242.16/x
  3. Step 3: Cross multiply
    76,065.76x = 104,945.16 × 49,242.16
  4. Step 4: Simplify right side
    76,065.76x = 5,167,726,359.95
  5. Step 5: Solve for x
    x = 5,167,726,359.95/76,065.76
  6. Step 6: Final answer
    x = 67,937.62

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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.