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Finding the Fourth Proportional to 95,459.64, 143,178.34 and 25,344.40

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Solution

The fourth proportional to 95,459.64, 143,178.34 and 25,344.40 is: 38,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,459.64 : 143,178.34 = 25,344.40 : x
  2. Step 2: Convert to fraction form
    95,459.64/143,178.34 = 25,344.40/x
  3. Step 3: Cross multiply
    95,459.64x = 143,178.34 × 25,344.40
  4. Step 4: Simplify right side
    95,459.64x = 3,628,769,120.30
  5. Step 5: Solve for x
    x = 3,628,769,120.30/95,459.64
  6. Step 6: Final answer
    x = 38,013.65

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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.