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Finding the Fourth Proportional to 54,260.88, 74,875.72 and 30,382

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Solution

The fourth proportional to 54,260.88, 74,875.72 and 30,382 is: 41,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,260.88 : 74,875.72 = 30,382 : x
  2. Step 2: Convert to fraction form
    54,260.88/74,875.72 = 30,382/x
  3. Step 3: Cross multiply
    54,260.88x = 74,875.72 × 30,382
  4. Step 4: Simplify right side
    54,260.88x = 2,274,874,125.04
  5. Step 5: Solve for x
    x = 2,274,874,125.04/54,260.88
  6. Step 6: Final answer
    x = 41,924.76

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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.