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Finding the Fourth Proportional to 65,259.40, 97,694.70 and 38,950.60

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Solution

The fourth proportional to 65,259.40, 97,694.70 and 38,950.60 is: 58,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,259.40 : 97,694.70 = 38,950.60 : x
  2. Step 2: Convert to fraction form
    65,259.40/97,694.70 = 38,950.60/x
  3. Step 3: Cross multiply
    65,259.40x = 97,694.70 × 38,950.60
  4. Step 4: Simplify right side
    65,259.40x = 3,805,267,181.82
  5. Step 5: Solve for x
    x = 3,805,267,181.82/65,259.40
  6. Step 6: Final answer
    x = 58,309.87

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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.