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Finding the Fourth Proportional to 53,642.96, 80,437.44 and 18,573.20

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Solution

The fourth proportional to 53,642.96, 80,437.44 and 18,573.20 is: 27,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.96 : 80,437.44 = 18,573.20 : x
  2. Step 2: Convert to fraction form
    53,642.96/80,437.44 = 18,573.20/x
  3. Step 3: Cross multiply
    53,642.96x = 80,437.44 × 18,573.20
  4. Step 4: Simplify right side
    53,642.96x = 1,493,980,660.61
  5. Step 5: Solve for x
    x = 1,493,980,660.61/53,642.96
  6. Step 6: Final answer
    x = 27,850.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.