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Finding the Fourth Proportional to 36,539.61, 54,805.83 and 24,769

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Solution

The fourth proportional to 36,539.61, 54,805.83 and 24,769 is: 37,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,539.61 : 54,805.83 = 24,769 : x
  2. Step 2: Convert to fraction form
    36,539.61/54,805.83 = 24,769/x
  3. Step 3: Cross multiply
    36,539.61x = 54,805.83 × 24,769
  4. Step 4: Simplify right side
    36,539.61x = 1,357,485,603.27
  5. Step 5: Solve for x
    x = 1,357,485,603.27/36,539.61
  6. Step 6: Final answer
    x = 37,151.07

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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.