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Finding the Fourth Proportional to 30,878.72, 42,610.08 and 17,451.16

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Solution

The fourth proportional to 30,878.72, 42,610.08 and 17,451.16 is: 24,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.72 : 42,610.08 = 17,451.16 : x
  2. Step 2: Convert to fraction form
    30,878.72/42,610.08 = 17,451.16/x
  3. Step 3: Cross multiply
    30,878.72x = 42,610.08 × 17,451.16
  4. Step 4: Simplify right side
    30,878.72x = 743,595,323.69
  5. Step 5: Solve for x
    x = 743,595,323.69/30,878.72
  6. Step 6: Final answer
    x = 24,081.16

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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.