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Finding the Fourth Proportional to 65,008.28, 97,493.10 and 27,567.80

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Solution

The fourth proportional to 65,008.28, 97,493.10 and 27,567.80 is: 41,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,008.28 : 97,493.10 = 27,567.80 : x
  2. Step 2: Convert to fraction form
    65,008.28/97,493.10 = 27,567.80/x
  3. Step 3: Cross multiply
    65,008.28x = 97,493.10 × 27,567.80
  4. Step 4: Simplify right side
    65,008.28x = 2,687,670,282.18
  5. Step 5: Solve for x
    x = 2,687,670,282.18/65,008.28
  6. Step 6: Final answer
    x = 41,343.51

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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.