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Finding the Fourth Proportional to 57,806.74, 79,777.20 and 32,657.86

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Solution

The fourth proportional to 57,806.74, 79,777.20 and 32,657.86 is: 45,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,806.74 : 79,777.20 = 32,657.86 : x
  2. Step 2: Convert to fraction form
    57,806.74/79,777.20 = 32,657.86/x
  3. Step 3: Cross multiply
    57,806.74x = 79,777.20 × 32,657.86
  4. Step 4: Simplify right side
    57,806.74x = 2,605,352,628.79
  5. Step 5: Solve for x
    x = 2,605,352,628.79/57,806.74
  6. Step 6: Final answer
    x = 45,070.05

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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.