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Finding the Fourth Proportional to 54,246.88, 74,856.40 and 30,368

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Solution

The fourth proportional to 54,246.88, 74,856.40 and 30,368 is: 41,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,246.88 : 74,856.40 = 30,368 : x
  2. Step 2: Convert to fraction form
    54,246.88/74,856.40 = 30,368/x
  3. Step 3: Cross multiply
    54,246.88x = 74,856.40 × 30,368
  4. Step 4: Simplify right side
    54,246.88x = 2,273,239,155.20
  5. Step 5: Solve for x
    x = 2,273,239,155.20/54,246.88
  6. Step 6: Final answer
    x = 41,905.44

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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.