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Finding the Fourth Proportional to 54,335.88, 74,983.50 and 30,462.48

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Solution

The fourth proportional to 54,335.88, 74,983.50 and 30,462.48 is: 42,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,335.88 : 74,983.50 = 30,462.48 : x
  2. Step 2: Convert to fraction form
    54,335.88/74,983.50 = 30,462.48/x
  3. Step 3: Cross multiply
    54,335.88x = 74,983.50 × 30,462.48
  4. Step 4: Simplify right side
    54,335.88x = 2,284,183,369.08
  5. Step 5: Solve for x
    x = 2,284,183,369.08/54,335.88
  6. Step 6: Final answer
    x = 42,038.21

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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.