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Finding the Fourth Proportional to 47,097.58, 70,563.34 and 24,861.97

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Solution

The fourth proportional to 47,097.58, 70,563.34 and 24,861.97 is: 37,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097.58 : 70,563.34 = 24,861.97 : x
  2. Step 2: Convert to fraction form
    47,097.58/70,563.34 = 24,861.97/x
  3. Step 3: Cross multiply
    47,097.58x = 70,563.34 × 24,861.97
  4. Step 4: Simplify right side
    47,097.58x = 1,754,343,642.18
  5. Step 5: Solve for x
    x = 1,754,343,642.18/47,097.58
  6. Step 6: Final answer
    x = 37,249.12

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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.