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Finding the Fourth Proportional to 25,086.80, 37,629.78 and 6,111.50

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Solution

The fourth proportional to 25,086.80, 37,629.78 and 6,111.50 is: 9,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,086.80 : 37,629.78 = 6,111.50 : x
  2. Step 2: Convert to fraction form
    25,086.80/37,629.78 = 6,111.50/x
  3. Step 3: Cross multiply
    25,086.80x = 37,629.78 × 6,111.50
  4. Step 4: Simplify right side
    25,086.80x = 229,974,400.47
  5. Step 5: Solve for x
    x = 229,974,400.47/25,086.80
  6. Step 6: Final answer
    x = 9,167.15

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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.