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Finding the Fourth Proportional to 38,655.36, 53,451.78 and 30,683.76

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Solution

The fourth proportional to 38,655.36, 53,451.78 and 30,683.76 is: 42,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,655.36 : 53,451.78 = 30,683.76 : x
  2. Step 2: Convert to fraction form
    38,655.36/53,451.78 = 30,683.76/x
  3. Step 3: Cross multiply
    38,655.36x = 53,451.78 × 30,683.76
  4. Step 4: Simplify right side
    38,655.36x = 1,640,101,589.09
  5. Step 5: Solve for x
    x = 1,640,101,589.09/38,655.36
  6. Step 6: Final answer
    x = 42,428.83

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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.