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Finding the Fourth Proportional to 54,659.39, 75,430.37 and 30,783.83

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Solution

The fourth proportional to 54,659.39, 75,430.37 and 30,783.83 is: 42,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,659.39 : 75,430.37 = 30,783.83 : x
  2. Step 2: Convert to fraction form
    54,659.39/75,430.37 = 30,783.83/x
  3. Step 3: Cross multiply
    54,659.39x = 75,430.37 × 30,783.83
  4. Step 4: Simplify right side
    54,659.39x = 2,322,035,386.72
  5. Step 5: Solve for x
    x = 2,322,035,386.72/54,659.39
  6. Step 6: Final answer
    x = 42,481.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.