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Finding the Fourth Proportional to 55,708.75, 83,566.77 and 24,544

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Solution

The fourth proportional to 55,708.75, 83,566.77 and 24,544 is: 36,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,708.75 : 83,566.77 = 24,544 : x
  2. Step 2: Convert to fraction form
    55,708.75/83,566.77 = 24,544/x
  3. Step 3: Cross multiply
    55,708.75x = 83,566.77 × 24,544
  4. Step 4: Simplify right side
    55,708.75x = 2,051,062,802.88
  5. Step 5: Solve for x
    x = 2,051,062,802.88/55,708.75
  6. Step 6: Final answer
    x = 36,817.61

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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.