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Finding the Fourth Proportional to 37,824.93, 52,197.93 and 20,829.17

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Solution

The fourth proportional to 37,824.93, 52,197.93 and 20,829.17 is: 28,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,824.93 : 52,197.93 = 20,829.17 : x
  2. Step 2: Convert to fraction form
    37,824.93/52,197.93 = 20,829.17/x
  3. Step 3: Cross multiply
    37,824.93x = 52,197.93 × 20,829.17
  4. Step 4: Simplify right side
    37,824.93x = 1,087,239,296.63
  5. Step 5: Solve for x
    x = 1,087,239,296.63/37,824.93
  6. Step 6: Final answer
    x = 28,743.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.