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Finding the Fourth Proportional to 48,301.56, 66,643.54 and 27,878.62

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Solution

The fourth proportional to 48,301.56, 66,643.54 and 27,878.62 is: 38,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,301.56 : 66,643.54 = 27,878.62 : x
  2. Step 2: Convert to fraction form
    48,301.56/66,643.54 = 27,878.62/x
  3. Step 3: Cross multiply
    48,301.56x = 66,643.54 × 27,878.62
  4. Step 4: Simplify right side
    48,301.56x = 1,857,929,927.11
  5. Step 5: Solve for x
    x = 1,857,929,927.11/48,301.56
  6. Step 6: Final answer
    x = 38,465.22

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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.