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Finding the Fourth Proportional to 76,202.52, 105,210.85 and 47,565.80

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Solution

The fourth proportional to 76,202.52, 105,210.85 and 47,565.80 is: 65,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.52 : 105,210.85 = 47,565.80 : x
  2. Step 2: Convert to fraction form
    76,202.52/105,210.85 = 47,565.80/x
  3. Step 3: Cross multiply
    76,202.52x = 105,210.85 × 47,565.80
  4. Step 4: Simplify right side
    76,202.52x = 5,004,438,087.69
  5. Step 5: Solve for x
    x = 5,004,438,087.69/76,202.52
  6. Step 6: Final answer
    x = 65,672.87

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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.