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Finding the Fourth Proportional to 48,900.06, 67,483.69 and 27,678.87

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Solution

The fourth proportional to 48,900.06, 67,483.69 and 27,678.87 is: 38,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,900.06 : 67,483.69 = 27,678.87 : x
  2. Step 2: Convert to fraction form
    48,900.06/67,483.69 = 27,678.87/x
  3. Step 3: Cross multiply
    48,900.06x = 67,483.69 × 27,678.87
  4. Step 4: Simplify right side
    48,900.06x = 1,867,872,282.63
  5. Step 5: Solve for x
    x = 1,867,872,282.63/48,900.06
  6. Step 6: Final answer
    x = 38,197.75

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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.