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Finding the Fourth Proportional to 48,250, 66,585 and 27,029.26

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Solution

The fourth proportional to 48,250, 66,585 and 27,029.26 is: 37,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,250 : 66,585 = 27,029.26 : x
  2. Step 2: Convert to fraction form
    48,250/66,585 = 27,029.26/x
  3. Step 3: Cross multiply
    48,250x = 66,585 × 27,029.26
  4. Step 4: Simplify right side
    48,250x = 1,799,743,277.10
  5. Step 5: Solve for x
    x = 1,799,743,277.10/48,250
  6. Step 6: Final answer
    x = 37,300.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.