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Finding the Fourth Proportional to 97,294.88, 145,949.52 and 34,108.04

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Solution

The fourth proportional to 97,294.88, 145,949.52 and 34,108.04 is: 51,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294.88 : 145,949.52 = 34,108.04 : x
  2. Step 2: Convert to fraction form
    97,294.88/145,949.52 = 34,108.04/x
  3. Step 3: Cross multiply
    97,294.88x = 145,949.52 × 34,108.04
  4. Step 4: Simplify right side
    97,294.88x = 4,978,052,066.14
  5. Step 5: Solve for x
    x = 4,978,052,066.14/97,294.88
  6. Step 6: Final answer
    x = 51,164.58

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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.