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Finding the Fourth Proportional to 47,115.72, 70,494.57 and 29,039.22

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Solution

The fourth proportional to 47,115.72, 70,494.57 and 29,039.22 is: 43,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.72 : 70,494.57 = 29,039.22 : x
  2. Step 2: Convert to fraction form
    47,115.72/70,494.57 = 29,039.22/x
  3. Step 3: Cross multiply
    47,115.72x = 70,494.57 × 29,039.22
  4. Step 4: Simplify right side
    47,115.72x = 2,047,107,327.04
  5. Step 5: Solve for x
    x = 2,047,107,327.04/47,115.72
  6. Step 6: Final answer
    x = 43,448.50

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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.