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Finding the Fourth Proportional to 35,275.23, 52,914.47 and 8,980.20

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Solution

The fourth proportional to 35,275.23, 52,914.47 and 8,980.20 is: 13,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,275.23 : 52,914.47 = 8,980.20 : x
  2. Step 2: Convert to fraction form
    35,275.23/52,914.47 = 8,980.20/x
  3. Step 3: Cross multiply
    35,275.23x = 52,914.47 × 8,980.20
  4. Step 4: Simplify right side
    35,275.23x = 475,182,523.49
  5. Step 5: Solve for x
    x = 475,182,523.49/35,275.23
  6. Step 6: Final answer
    x = 13,470.71

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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.