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Finding the Fourth Proportional to 65,269.86, 97,838.78 and 25,854.45

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Solution

The fourth proportional to 65,269.86, 97,838.78 and 25,854.45 is: 38,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,269.86 : 97,838.78 = 25,854.45 : x
  2. Step 2: Convert to fraction form
    65,269.86/97,838.78 = 25,854.45/x
  3. Step 3: Cross multiply
    65,269.86x = 97,838.78 × 25,854.45
  4. Step 4: Simplify right side
    65,269.86x = 2,529,567,716.30
  5. Step 5: Solve for x
    x = 2,529,567,716.30/65,269.86
  6. Step 6: Final answer
    x = 38,755.53

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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.