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Finding the Fourth Proportional to 54,859.52, 75,707.52 and 33,650.48

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Solution

The fourth proportional to 54,859.52, 75,707.52 and 33,650.48 is: 46,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.52 : 75,707.52 = 33,650.48 : x
  2. Step 2: Convert to fraction form
    54,859.52/75,707.52 = 33,650.48/x
  3. Step 3: Cross multiply
    54,859.52x = 75,707.52 × 33,650.48
  4. Step 4: Simplify right side
    54,859.52x = 2,547,594,387.61
  5. Step 5: Solve for x
    x = 2,547,594,387.61/54,859.52
  6. Step 6: Final answer
    x = 46,438.51

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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.