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Finding the Fourth Proportional to 54,642.59, 75,413.96 and 30,773.93

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Solution

The fourth proportional to 54,642.59, 75,413.96 and 30,773.93 is: 42,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.59 : 75,413.96 = 30,773.93 : x
  2. Step 2: Convert to fraction form
    54,642.59/75,413.96 = 30,773.93/x
  3. Step 3: Cross multiply
    54,642.59x = 75,413.96 × 30,773.93
  4. Step 4: Simplify right side
    54,642.59x = 2,320,783,926.06
  5. Step 5: Solve for x
    x = 2,320,783,926.06/54,642.59
  6. Step 6: Final answer
    x = 42,472.07

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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.