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Finding the Fourth Proportional to 48,872.30, 73,308.45 and 36,584.30

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Solution

The fourth proportional to 48,872.30, 73,308.45 and 36,584.30 is: 54,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,872.30 : 73,308.45 = 36,584.30 : x
  2. Step 2: Convert to fraction form
    48,872.30/73,308.45 = 36,584.30/x
  3. Step 3: Cross multiply
    48,872.30x = 73,308.45 × 36,584.30
  4. Step 4: Simplify right side
    48,872.30x = 2,681,938,327.34
  5. Step 5: Solve for x
    x = 2,681,938,327.34/48,872.30
  6. Step 6: Final answer
    x = 54,876.45

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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.