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Finding the Fourth Proportional to 54,965.52, 75,852.72 and 33,758.64

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Solution

The fourth proportional to 54,965.52, 75,852.72 and 33,758.64 is: 46,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965.52 : 75,852.72 = 33,758.64 : x
  2. Step 2: Convert to fraction form
    54,965.52/75,852.72 = 33,758.64/x
  3. Step 3: Cross multiply
    54,965.52x = 75,852.72 × 33,758.64
  4. Step 4: Simplify right side
    54,965.52x = 2,560,684,667.50
  5. Step 5: Solve for x
    x = 2,560,684,667.50/54,965.52
  6. Step 6: Final answer
    x = 46,587.11

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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.