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Finding the Fourth Proportional to 65,353.32, 97,874.46 and 37,593

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Solution

The fourth proportional to 65,353.32, 97,874.46 and 37,593 is: 56,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,353.32 : 97,874.46 = 37,593 : x
  2. Step 2: Convert to fraction form
    65,353.32/97,874.46 = 37,593/x
  3. Step 3: Cross multiply
    65,353.32x = 97,874.46 × 37,593
  4. Step 4: Simplify right side
    65,353.32x = 3,679,394,574.78
  5. Step 5: Solve for x
    x = 3,679,394,574.78/65,353.32
  6. Step 6: Final answer
    x = 56,300.04

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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.