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Finding the Fourth Proportional to 61,780.40, 85,257.60 and 34,923.20

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Solution

The fourth proportional to 61,780.40, 85,257.60 and 34,923.20 is: 48,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780.40 : 85,257.60 = 34,923.20 : x
  2. Step 2: Convert to fraction form
    61,780.40/85,257.60 = 34,923.20/x
  3. Step 3: Cross multiply
    61,780.40x = 85,257.60 × 34,923.20
  4. Step 4: Simplify right side
    61,780.40x = 2,977,468,216.32
  5. Step 5: Solve for x
    x = 2,977,468,216.32/61,780.40
  6. Step 6: Final answer
    x = 48,194.38

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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.