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Finding the Fourth Proportional to 48,257.81, 72,386.48 and 12,234.27

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Solution

The fourth proportional to 48,257.81, 72,386.48 and 12,234.27 is: 18,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,257.81 : 72,386.48 = 12,234.27 : x
  2. Step 2: Convert to fraction form
    48,257.81/72,386.48 = 12,234.27/x
  3. Step 3: Cross multiply
    48,257.81x = 72,386.48 × 12,234.27
  4. Step 4: Simplify right side
    48,257.81x = 885,595,679.50
  5. Step 5: Solve for x
    x = 885,595,679.50/48,257.81
  6. Step 6: Final answer
    x = 18,351.35

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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.