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Finding the Fourth Proportional to 65,764.86, 98,574.66 and 41,997.60

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Solution

The fourth proportional to 65,764.86, 98,574.66 and 41,997.60 is: 62,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,764.86 : 98,574.66 = 41,997.60 : x
  2. Step 2: Convert to fraction form
    65,764.86/98,574.66 = 41,997.60/x
  3. Step 3: Cross multiply
    65,764.86x = 98,574.66 × 41,997.60
  4. Step 4: Simplify right side
    65,764.86x = 4,139,899,140.82
  5. Step 5: Solve for x
    x = 4,139,899,140.82/65,764.86
  6. Step 6: Final answer
    x = 62,950.02

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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.