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Finding the Fourth Proportional to 74,524, 111,803.28 and 25,276

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Solution

The fourth proportional to 74,524, 111,803.28 and 25,276 is: 37,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,524 : 111,803.28 = 25,276 : x
  2. Step 2: Convert to fraction form
    74,524/111,803.28 = 25,276/x
  3. Step 3: Cross multiply
    74,524x = 111,803.28 × 25,276
  4. Step 4: Simplify right side
    74,524x = 2,825,939,705.28
  5. Step 5: Solve for x
    x = 2,825,939,705.28/74,524
  6. Step 6: Final answer
    x = 37,919.86

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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.