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Finding the Fourth Proportional to 69,346.30, 103,956.08 and 24,962.90

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Solution

The fourth proportional to 69,346.30, 103,956.08 and 24,962.90 is: 37,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,346.30 : 103,956.08 = 24,962.90 : x
  2. Step 2: Convert to fraction form
    69,346.30/103,956.08 = 24,962.90/x
  3. Step 3: Cross multiply
    69,346.30x = 103,956.08 × 24,962.90
  4. Step 4: Simplify right side
    69,346.30x = 2,595,045,229.43
  5. Step 5: Solve for x
    x = 2,595,045,229.43/69,346.30
  6. Step 6: Final answer
    x = 37,421.54

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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.