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Finding the Fourth Proportional to 54,230.52, 74,811.24 and 34,076.64

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Solution

The fourth proportional to 54,230.52, 74,811.24 and 34,076.64 is: 47,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,230.52 : 74,811.24 = 34,076.64 : x
  2. Step 2: Convert to fraction form
    54,230.52/74,811.24 = 34,076.64/x
  3. Step 3: Cross multiply
    54,230.52x = 74,811.24 × 34,076.64
  4. Step 4: Simplify right side
    54,230.52x = 2,549,315,693.43
  5. Step 5: Solve for x
    x = 2,549,315,693.43/54,230.52
  6. Step 6: Final answer
    x = 47,008.87

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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.