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Finding the Fourth Proportional to 54,881.16, 75,739.50 and 33,657.54

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Solution

The fourth proportional to 54,881.16, 75,739.50 and 33,657.54 is: 46,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,881.16 : 75,739.50 = 33,657.54 : x
  2. Step 2: Convert to fraction form
    54,881.16/75,739.50 = 33,657.54/x
  3. Step 3: Cross multiply
    54,881.16x = 75,739.50 × 33,657.54
  4. Step 4: Simplify right side
    54,881.16x = 2,549,205,250.83
  5. Step 5: Solve for x
    x = 2,549,205,250.83/54,881.16
  6. Step 6: Final answer
    x = 46,449.55

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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.