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Finding the Fourth Proportional to 75,422, 113,151.28 and 22,828.48

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Solution

The fourth proportional to 75,422, 113,151.28 and 22,828.48 is: 34,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,422 : 113,151.28 = 22,828.48 : x
  2. Step 2: Convert to fraction form
    75,422/113,151.28 = 22,828.48/x
  3. Step 3: Cross multiply
    75,422x = 113,151.28 × 22,828.48
  4. Step 4: Simplify right side
    75,422x = 2,583,071,732.45
  5. Step 5: Solve for x
    x = 2,583,071,732.45/75,422
  6. Step 6: Final answer
    x = 34,248.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.