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Finding the Fourth Proportional to 141,034.44, 211,552.32 and 47,541

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Solution

The fourth proportional to 141,034.44, 211,552.32 and 47,541 is: 71,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,034.44 : 211,552.32 = 47,541 : x
  2. Step 2: Convert to fraction form
    141,034.44/211,552.32 = 47,541/x
  3. Step 3: Cross multiply
    141,034.44x = 211,552.32 × 47,541
  4. Step 4: Simplify right side
    141,034.44x = 10,057,408,845.12
  5. Step 5: Solve for x
    x = 10,057,408,845.12/141,034.44
  6. Step 6: Final answer
    x = 71,311.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.