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Finding the Fourth Proportional to 27,179.60, 40,767.57 and 7,456.50

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Solution

The fourth proportional to 27,179.60, 40,767.57 and 7,456.50 is: 11,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,179.60 : 40,767.57 = 7,456.50 : x
  2. Step 2: Convert to fraction form
    27,179.60/40,767.57 = 7,456.50/x
  3. Step 3: Cross multiply
    27,179.60x = 40,767.57 × 7,456.50
  4. Step 4: Simplify right side
    27,179.60x = 303,983,385.71
  5. Step 5: Solve for x
    x = 303,983,385.71/27,179.60
  6. Step 6: Final answer
    x = 11,184.25

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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.