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Finding the Fourth Proportional to 54,842.96, 82,264.10 and 15,400.10

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Solution

The fourth proportional to 54,842.96, 82,264.10 and 15,400.10 is: 23,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.96 : 82,264.10 = 15,400.10 : x
  2. Step 2: Convert to fraction form
    54,842.96/82,264.10 = 15,400.10/x
  3. Step 3: Cross multiply
    54,842.96x = 82,264.10 × 15,400.10
  4. Step 4: Simplify right side
    54,842.96x = 1,266,874,878.09
  5. Step 5: Solve for x
    x = 1,266,874,878.09/54,842.96
  6. Step 6: Final answer
    x = 23,100.05

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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.