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Finding the Fourth Proportional to 50,445.56, 69,612.12 and 27,780.24

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Solution

The fourth proportional to 50,445.56, 69,612.12 and 27,780.24 is: 38,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,445.56 : 69,612.12 = 27,780.24 : x
  2. Step 2: Convert to fraction form
    50,445.56/69,612.12 = 27,780.24/x
  3. Step 3: Cross multiply
    50,445.56x = 69,612.12 × 27,780.24
  4. Step 4: Simplify right side
    50,445.56x = 1,933,841,400.51
  5. Step 5: Solve for x
    x = 1,933,841,400.51/50,445.56
  6. Step 6: Final answer
    x = 38,335.22

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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.