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Finding the Fourth Proportional to 50,834.69, 76,226.06 and 29,781.47

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Solution

The fourth proportional to 50,834.69, 76,226.06 and 29,781.47 is: 44,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,834.69 : 76,226.06 = 29,781.47 : x
  2. Step 2: Convert to fraction form
    50,834.69/76,226.06 = 29,781.47/x
  3. Step 3: Cross multiply
    50,834.69x = 76,226.06 × 29,781.47
  4. Step 4: Simplify right side
    50,834.69x = 2,270,124,384.13
  5. Step 5: Solve for x
    x = 2,270,124,384.13/50,834.69
  6. Step 6: Final answer
    x = 44,656.99

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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.