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Finding the Fourth Proportional to 65,177.80, 97,766.70 and 41,849.80

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Solution

The fourth proportional to 65,177.80, 97,766.70 and 41,849.80 is: 62,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,177.80 : 97,766.70 = 41,849.80 : x
  2. Step 2: Convert to fraction form
    65,177.80/97,766.70 = 41,849.80/x
  3. Step 3: Cross multiply
    65,177.80x = 97,766.70 × 41,849.80
  4. Step 4: Simplify right side
    65,177.80x = 4,091,516,841.66
  5. Step 5: Solve for x
    x = 4,091,516,841.66/65,177.80
  6. Step 6: Final answer
    x = 62,774.70

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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.