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Finding the Fourth Proportional to 54,578.31, 75,317.94 and 30,705

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Solution

The fourth proportional to 54,578.31, 75,317.94 and 30,705 is: 42,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578.31 : 75,317.94 = 30,705 : x
  2. Step 2: Convert to fraction form
    54,578.31/75,317.94 = 30,705/x
  3. Step 3: Cross multiply
    54,578.31x = 75,317.94 × 30,705
  4. Step 4: Simplify right side
    54,578.31x = 2,312,637,347.70
  5. Step 5: Solve for x
    x = 2,312,637,347.70/54,578.31
  6. Step 6: Final answer
    x = 42,372.83

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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.