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Finding the Fourth Proportional to 37,277.42, 51,443.10 and 20,282.00

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Solution

The fourth proportional to 37,277.42, 51,443.10 and 20,282.00 is: 27,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,277.42 : 51,443.10 = 20,282.00 : x
  2. Step 2: Convert to fraction form
    37,277.42/51,443.10 = 20,282.00/x
  3. Step 3: Cross multiply
    37,277.42x = 51,443.10 × 20,282.00
  4. Step 4: Simplify right side
    37,277.42x = 1,043,368,696.98
  5. Step 5: Solve for x
    x = 1,043,368,696.98/37,277.42
  6. Step 6: Final answer
    x = 27,989.30

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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.