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Finding the Fourth Proportional to 50,449.47, 69,619.64 and 27,788.01

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Solution

The fourth proportional to 50,449.47, 69,619.64 and 27,788.01 is: 38,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,449.47 : 69,619.64 = 27,788.01 : x
  2. Step 2: Convert to fraction form
    50,449.47/69,619.64 = 27,788.01/x
  3. Step 3: Cross multiply
    50,449.47x = 69,619.64 × 27,788.01
  4. Step 4: Simplify right side
    50,449.47x = 1,934,591,113.58
  5. Step 5: Solve for x
    x = 1,934,591,113.58/50,449.47
  6. Step 6: Final answer
    x = 38,347.10

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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.