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Finding the Fourth Proportional to 47,674.67, 71,509.68 and 17,694.74

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Solution

The fourth proportional to 47,674.67, 71,509.68 and 17,694.74 is: 26,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,674.67 : 71,509.68 = 17,694.74 : x
  2. Step 2: Convert to fraction form
    47,674.67/71,509.68 = 17,694.74/x
  3. Step 3: Cross multiply
    47,674.67x = 71,509.68 × 17,694.74
  4. Step 4: Simplify right side
    47,674.67x = 1,265,345,260.86
  5. Step 5: Solve for x
    x = 1,265,345,260.86/47,674.67
  6. Step 6: Final answer
    x = 26,541.25

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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.