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Finding the Fourth Proportional to 65,039.94, 97,567.11 and 25,591.86

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Solution

The fourth proportional to 65,039.94, 97,567.11 and 25,591.86 is: 38,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,039.94 : 97,567.11 = 25,591.86 : x
  2. Step 2: Convert to fraction form
    65,039.94/97,567.11 = 25,591.86/x
  3. Step 3: Cross multiply
    65,039.94x = 97,567.11 × 25,591.86
  4. Step 4: Simplify right side
    65,039.94x = 2,496,923,819.72
  5. Step 5: Solve for x
    x = 2,496,923,819.72/65,039.94
  6. Step 6: Final answer
    x = 38,390.62

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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.