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Finding the Fourth Proportional to 48,972, 67,596.74 and 27,765.39

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Solution

The fourth proportional to 48,972, 67,596.74 and 27,765.39 is: 38,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,972 : 67,596.74 = 27,765.39 : x
  2. Step 2: Convert to fraction form
    48,972/67,596.74 = 27,765.39/x
  3. Step 3: Cross multiply
    48,972x = 67,596.74 × 27,765.39
  4. Step 4: Simplify right side
    48,972x = 1,876,849,848.83
  5. Step 5: Solve for x
    x = 1,876,849,848.83/48,972
  6. Step 6: Final answer
    x = 38,324.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.