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Finding the Fourth Proportional to 57,803.76, 86,723.34 and 51,842.97

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Solution

The fourth proportional to 57,803.76, 86,723.34 and 51,842.97 is: 77,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,803.76 : 86,723.34 = 51,842.97 : x
  2. Step 2: Convert to fraction form
    57,803.76/86,723.34 = 51,842.97/x
  3. Step 3: Cross multiply
    57,803.76x = 86,723.34 × 51,842.97
  4. Step 4: Simplify right side
    57,803.76x = 4,495,995,513.92
  5. Step 5: Solve for x
    x = 4,495,995,513.92/57,803.76
  6. Step 6: Final answer
    x = 77,780.33

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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.