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Finding the Fourth Proportional to 54,655.92, 75,425.42 and 30,783

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Solution

The fourth proportional to 54,655.92, 75,425.42 and 30,783 is: 42,480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,655.92 : 75,425.42 = 30,783 : x
  2. Step 2: Convert to fraction form
    54,655.92/75,425.42 = 30,783/x
  3. Step 3: Cross multiply
    54,655.92x = 75,425.42 × 30,783
  4. Step 4: Simplify right side
    54,655.92x = 2,321,820,703.86
  5. Step 5: Solve for x
    x = 2,321,820,703.86/54,655.92
  6. Step 6: Final answer
    x = 42,480.68

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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.