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Finding the Fourth Proportional to 77,238.50, 115,859.77 and 24,647.93

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Solution

The fourth proportional to 77,238.50, 115,859.77 and 24,647.93 is: 36,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,238.50 : 115,859.77 = 24,647.93 : x
  2. Step 2: Convert to fraction form
    77,238.50/115,859.77 = 24,647.93/x
  3. Step 3: Cross multiply
    77,238.50x = 115,859.77 × 24,647.93
  4. Step 4: Simplify right side
    77,238.50x = 2,855,703,294.33
  5. Step 5: Solve for x
    x = 2,855,703,294.33/77,238.50
  6. Step 6: Final answer
    x = 36,972.54

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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.