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Finding the Fourth Proportional to 77,364.50, 116,048.38 and 24,773.83

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Solution

The fourth proportional to 77,364.50, 116,048.38 and 24,773.83 is: 37,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,364.50 : 116,048.38 = 24,773.83 : x
  2. Step 2: Convert to fraction form
    77,364.50/116,048.38 = 24,773.83/x
  3. Step 3: Cross multiply
    77,364.50x = 116,048.38 × 24,773.83
  4. Step 4: Simplify right side
    77,364.50x = 2,874,962,837.90
  5. Step 5: Solve for x
    x = 2,874,962,837.90/77,364.50
  6. Step 6: Final answer
    x = 37,161.27

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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.