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Finding the Fourth Proportional to 54,877.58, 82,314.53 and 23,267.30

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Solution

The fourth proportional to 54,877.58, 82,314.53 and 23,267.30 is: 34,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877.58 : 82,314.53 = 23,267.30 : x
  2. Step 2: Convert to fraction form
    54,877.58/82,314.53 = 23,267.30/x
  3. Step 3: Cross multiply
    54,877.58x = 82,314.53 × 23,267.30
  4. Step 4: Simplify right side
    54,877.58x = 1,915,236,335.96
  5. Step 5: Solve for x
    x = 1,915,236,335.96/54,877.58
  6. Step 6: Final answer
    x = 34,900.16

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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.