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Finding the Fourth Proportional to 27,216, 37,441.44 and 26,049.60

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Solution

The fourth proportional to 27,216, 37,441.44 and 26,049.60 is: 35,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 37,441.44 = 26,049.60 : x
  2. Step 2: Convert to fraction form
    27,216/37,441.44 = 26,049.60/x
  3. Step 3: Cross multiply
    27,216x = 37,441.44 × 26,049.60
  4. Step 4: Simplify right side
    27,216x = 975,334,535.42
  5. Step 5: Solve for x
    x = 975,334,535.42/27,216
  6. Step 6: Final answer
    x = 35,836.81

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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.