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Finding the Fourth Proportional to 53,670, 74,067.84 and 32,454.48

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Solution

The fourth proportional to 53,670, 74,067.84 and 32,454.48 is: 44,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,670 : 74,067.84 = 32,454.48 : x
  2. Step 2: Convert to fraction form
    53,670/74,067.84 = 32,454.48/x
  3. Step 3: Cross multiply
    53,670x = 74,067.84 × 32,454.48
  4. Step 4: Simplify right side
    53,670x = 2,403,833,231.92
  5. Step 5: Solve for x
    x = 2,403,833,231.92/53,670
  6. Step 6: Final answer
    x = 44,789.14

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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.