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Finding the Fourth Proportional to 37,277.70, 51,442.83 and 20,282.46

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Solution

The fourth proportional to 37,277.70, 51,442.83 and 20,282.46 is: 27,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,277.70 : 51,442.83 = 20,282.46 : x
  2. Step 2: Convert to fraction form
    37,277.70/51,442.83 = 20,282.46/x
  3. Step 3: Cross multiply
    37,277.70x = 51,442.83 × 20,282.46
  4. Step 4: Simplify right side
    37,277.70x = 1,043,387,141.76
  5. Step 5: Solve for x
    x = 1,043,387,141.76/37,277.70
  6. Step 6: Final answer
    x = 27,989.58

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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.