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Finding the Fourth Proportional to 72,842.04, 109,262.89 and 22,926.50

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Solution

The fourth proportional to 72,842.04, 109,262.89 and 22,926.50 is: 34,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,842.04 : 109,262.89 = 22,926.50 : x
  2. Step 2: Convert to fraction form
    72,842.04/109,262.89 = 22,926.50/x
  3. Step 3: Cross multiply
    72,842.04x = 109,262.89 × 22,926.50
  4. Step 4: Simplify right side
    72,842.04x = 2,505,015,101.27
  5. Step 5: Solve for x
    x = 2,505,015,101.27/72,842.04
  6. Step 6: Final answer
    x = 34,389.69

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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.