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Finding the Fourth Proportional to 57,865.76, 79,854.84 and 32,715.24

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Solution

The fourth proportional to 57,865.76, 79,854.84 and 32,715.24 is: 45,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,865.76 : 79,854.84 = 32,715.24 : x
  2. Step 2: Convert to fraction form
    57,865.76/79,854.84 = 32,715.24/x
  3. Step 3: Cross multiply
    57,865.76x = 79,854.84 × 32,715.24
  4. Step 4: Simplify right side
    57,865.76x = 2,612,470,255.76
  5. Step 5: Solve for x
    x = 2,612,470,255.76/57,865.76
  6. Step 6: Final answer
    x = 45,147.08

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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.