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Finding the Fourth Proportional to 37,097.16, 51,211.83 and 21,178.53

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Solution

The fourth proportional to 37,097.16, 51,211.83 and 21,178.53 is: 29,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.16 : 51,211.83 = 21,178.53 : x
  2. Step 2: Convert to fraction form
    37,097.16/51,211.83 = 21,178.53/x
  3. Step 3: Cross multiply
    37,097.16x = 51,211.83 × 21,178.53
  4. Step 4: Simplify right side
    37,097.16x = 1,084,591,278.01
  5. Step 5: Solve for x
    x = 1,084,591,278.01/37,097.16
  6. Step 6: Final answer
    x = 29,236.50

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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.