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Finding the Fourth Proportional to 54,340.30, 74,992.71 and 30,465.82

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Solution

The fourth proportional to 54,340.30, 74,992.71 and 30,465.82 is: 42,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,340.30 : 74,992.71 = 30,465.82 : x
  2. Step 2: Convert to fraction form
    54,340.30/74,992.71 = 30,465.82/x
  3. Step 3: Cross multiply
    54,340.30x = 74,992.71 × 30,465.82
  4. Step 4: Simplify right side
    54,340.30x = 2,284,714,404.17
  5. Step 5: Solve for x
    x = 2,284,714,404.17/54,340.30
  6. Step 6: Final answer
    x = 42,044.57

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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.