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Finding the Fourth Proportional to 65,002.80, 97,513.65 and 27,562.80

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Solution

The fourth proportional to 65,002.80, 97,513.65 and 27,562.80 is: 41,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.80 : 97,513.65 = 27,562.80 : x
  2. Step 2: Convert to fraction form
    65,002.80/97,513.65 = 27,562.80/x
  3. Step 3: Cross multiply
    65,002.80x = 97,513.65 × 27,562.80
  4. Step 4: Simplify right side
    65,002.80x = 2,687,749,232.22
  5. Step 5: Solve for x
    x = 2,687,749,232.22/65,002.80
  6. Step 6: Final answer
    x = 41,348.21

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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.