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Finding the Fourth Proportional to 87,825.72, 121,199.58 and 47,539.56

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Solution

The fourth proportional to 87,825.72, 121,199.58 and 47,539.56 is: 65,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,825.72 : 121,199.58 = 47,539.56 : x
  2. Step 2: Convert to fraction form
    87,825.72/121,199.58 = 47,539.56/x
  3. Step 3: Cross multiply
    87,825.72x = 121,199.58 × 47,539.56
  4. Step 4: Simplify right side
    87,825.72x = 5,761,774,705.38
  5. Step 5: Solve for x
    x = 5,761,774,705.38/87,825.72
  6. Step 6: Final answer
    x = 65,604.64

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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.