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Finding the Fourth Proportional to 54,784.09, 82,188.45 and 17,346.40

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Solution

The fourth proportional to 54,784.09, 82,188.45 and 17,346.40 is: 26,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.09 : 82,188.45 = 17,346.40 : x
  2. Step 2: Convert to fraction form
    54,784.09/82,188.45 = 17,346.40/x
  3. Step 3: Cross multiply
    54,784.09x = 82,188.45 × 17,346.40
  4. Step 4: Simplify right side
    54,784.09x = 1,425,673,729.08
  5. Step 5: Solve for x
    x = 1,425,673,729.08/54,784.09
  6. Step 6: Final answer
    x = 26,023.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.