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Finding the Fourth Proportional to 65,002.30, 97,512.90 and 27,562.30

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Solution

The fourth proportional to 65,002.30, 97,512.90 and 27,562.30 is: 41,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.30 : 97,512.90 = 27,562.30 : x
  2. Step 2: Convert to fraction form
    65,002.30/97,512.90 = 27,562.30/x
  3. Step 3: Cross multiply
    65,002.30x = 97,512.90 × 27,562.30
  4. Step 4: Simplify right side
    65,002.30x = 2,687,679,803.67
  5. Step 5: Solve for x
    x = 2,687,679,803.67/65,002.30
  6. Step 6: Final answer
    x = 41,347.46

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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.