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Finding the Fourth Proportional to 57,778.40, 86,570.40 and 49,419.20

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Solution

The fourth proportional to 57,778.40, 86,570.40 and 49,419.20 is: 74,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,778.40 : 86,570.40 = 49,419.20 : x
  2. Step 2: Convert to fraction form
    57,778.40/86,570.40 = 49,419.20/x
  3. Step 3: Cross multiply
    57,778.40x = 86,570.40 × 49,419.20
  4. Step 4: Simplify right side
    57,778.40x = 4,278,239,911.68
  5. Step 5: Solve for x
    x = 4,278,239,911.68/57,778.40
  6. Step 6: Final answer
    x = 74,045.66

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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.