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Finding the Fourth Proportional to 48,682, 73,044.96 and 27,905.52

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Solution

The fourth proportional to 48,682, 73,044.96 and 27,905.52 is: 41,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,682 : 73,044.96 = 27,905.52 : x
  2. Step 2: Convert to fraction form
    48,682/73,044.96 = 27,905.52/x
  3. Step 3: Cross multiply
    48,682x = 73,044.96 × 27,905.52
  4. Step 4: Simplify right side
    48,682x = 2,038,357,592.18
  5. Step 5: Solve for x
    x = 2,038,357,592.18/48,682
  6. Step 6: Final answer
    x = 41,870.87

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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.