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Finding the Fourth Proportional to 27,470.80, 41,203.80 and 9,002.80

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Solution

The fourth proportional to 27,470.80, 41,203.80 and 9,002.80 is: 13,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.80 : 41,203.80 = 9,002.80 : x
  2. Step 2: Convert to fraction form
    27,470.80/41,203.80 = 9,002.80/x
  3. Step 3: Cross multiply
    27,470.80x = 41,203.80 × 9,002.80
  4. Step 4: Simplify right side
    27,470.80x = 370,949,570.64
  5. Step 5: Solve for x
    x = 370,949,570.64/27,470.80
  6. Step 6: Final answer
    x = 13,503.41

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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.