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Finding the Fourth Proportional to 48,301.50, 66,643.46 and 27,878.57

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Solution

The fourth proportional to 48,301.50, 66,643.46 and 27,878.57 is: 38,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,301.50 : 66,643.46 = 27,878.57 : x
  2. Step 2: Convert to fraction form
    48,301.50/66,643.46 = 27,878.57/x
  3. Step 3: Cross multiply
    48,301.50x = 66,643.46 × 27,878.57
  4. Step 4: Simplify right side
    48,301.50x = 1,857,923,892.04
  5. Step 5: Solve for x
    x = 1,857,923,892.04/48,301.50
  6. Step 6: Final answer
    x = 38,465.14

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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.