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Finding the Fourth Proportional to 48,907.94, 67,494.56 and 27,686.75

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Solution

The fourth proportional to 48,907.94, 67,494.56 and 27,686.75 is: 38,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,907.94 : 67,494.56 = 27,686.75 : x
  2. Step 2: Convert to fraction form
    48,907.94/67,494.56 = 27,686.75/x
  3. Step 3: Cross multiply
    48,907.94x = 67,494.56 × 27,686.75
  4. Step 4: Simplify right side
    48,907.94x = 1,868,705,009.08
  5. Step 5: Solve for x
    x = 1,868,705,009.08/48,907.94
  6. Step 6: Final answer
    x = 38,208.62

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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.