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Finding the Fourth Proportional to 54,671, 82,005.04 and 15,226.52

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Solution

The fourth proportional to 54,671, 82,005.04 and 15,226.52 is: 22,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671 : 82,005.04 = 15,226.52 : x
  2. Step 2: Convert to fraction form
    54,671/82,005.04 = 15,226.52/x
  3. Step 3: Cross multiply
    54,671x = 82,005.04 × 15,226.52
  4. Step 4: Simplify right side
    54,671x = 1,248,651,381.66
  5. Step 5: Solve for x
    x = 1,248,651,381.66/54,671
  6. Step 6: Final answer
    x = 22,839.37

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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.