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Finding the Fourth Proportional to 65,354.62, 97,874.02 and 37,189.36

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Solution

The fourth proportional to 65,354.62, 97,874.02 and 37,189.36 is: 55,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.62 : 97,874.02 = 37,189.36 : x
  2. Step 2: Convert to fraction form
    65,354.62/97,874.02 = 37,189.36/x
  3. Step 3: Cross multiply
    65,354.62x = 97,874.02 × 37,189.36
  4. Step 4: Simplify right side
    65,354.62x = 3,639,872,164.43
  5. Step 5: Solve for x
    x = 3,639,872,164.43/65,354.62
  6. Step 6: Final answer
    x = 55,694.18

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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.