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Finding the Fourth Proportional to 54,602.13, 75,338.47 and 30,720.09

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Solution

The fourth proportional to 54,602.13, 75,338.47 and 30,720.09 is: 42,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,602.13 : 75,338.47 = 30,720.09 : x
  2. Step 2: Convert to fraction form
    54,602.13/75,338.47 = 30,720.09/x
  3. Step 3: Cross multiply
    54,602.13x = 75,338.47 × 30,720.09
  4. Step 4: Simplify right side
    54,602.13x = 2,314,404,578.86
  5. Step 5: Solve for x
    x = 2,314,404,578.86/54,602.13
  6. Step 6: Final answer
    x = 42,386.71

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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.