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Finding the Fourth Proportional to 54,852.52, 75,697.86 and 33,643.48

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Solution

The fourth proportional to 54,852.52, 75,697.86 and 33,643.48 is: 46,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,852.52 : 75,697.86 = 33,643.48 : x
  2. Step 2: Convert to fraction form
    54,852.52/75,697.86 = 33,643.48/x
  3. Step 3: Cross multiply
    54,852.52x = 75,697.86 × 33,643.48
  4. Step 4: Simplify right side
    54,852.52x = 2,546,739,438.95
  5. Step 5: Solve for x
    x = 2,546,739,438.95/54,852.52
  6. Step 6: Final answer
    x = 46,428.85

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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.