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Finding the Fourth Proportional to 54,116.93, 74,633 and 33,975.68

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Solution

The fourth proportional to 54,116.93, 74,633 and 33,975.68 is: 46,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116.93 : 74,633 = 33,975.68 : x
  2. Step 2: Convert to fraction form
    54,116.93/74,633 = 33,975.68/x
  3. Step 3: Cross multiply
    54,116.93x = 74,633 × 33,975.68
  4. Step 4: Simplify right side
    54,116.93x = 2,535,706,925.44
  5. Step 5: Solve for x
    x = 2,535,706,925.44/54,116.93
  6. Step 6: Final answer
    x = 46,856.07

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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.