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Finding the Fourth Proportional to 52,978.64, 73,114.62 and 30,324.74

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Solution

The fourth proportional to 52,978.64, 73,114.62 and 30,324.74 is: 41,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,978.64 : 73,114.62 = 30,324.74 : x
  2. Step 2: Convert to fraction form
    52,978.64/73,114.62 = 30,324.74/x
  3. Step 3: Cross multiply
    52,978.64x = 73,114.62 × 30,324.74
  4. Step 4: Simplify right side
    52,978.64x = 2,217,181,864.02
  5. Step 5: Solve for x
    x = 2,217,181,864.02/52,978.64
  6. Step 6: Final answer
    x = 41,850.49

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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.