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Finding the Fourth Proportional to 27,319.20, 40,978.80 and 9,782.70

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Solution

The fourth proportional to 27,319.20, 40,978.80 and 9,782.70 is: 14,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,319.20 : 40,978.80 = 9,782.70 : x
  2. Step 2: Convert to fraction form
    27,319.20/40,978.80 = 9,782.70/x
  3. Step 3: Cross multiply
    27,319.20x = 40,978.80 × 9,782.70
  4. Step 4: Simplify right side
    27,319.20x = 400,883,306.76
  5. Step 5: Solve for x
    x = 400,883,306.76/27,319.20
  6. Step 6: Final answer
    x = 14,674.05

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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.