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Finding the Fourth Proportional to 37,123.95, 51,230.43 and 20,991

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Solution

The fourth proportional to 37,123.95, 51,230.43 and 20,991 is: 28,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,123.95 : 51,230.43 = 20,991 : x
  2. Step 2: Convert to fraction form
    37,123.95/51,230.43 = 20,991/x
  3. Step 3: Cross multiply
    37,123.95x = 51,230.43 × 20,991
  4. Step 4: Simplify right side
    37,123.95x = 1,075,377,956.13
  5. Step 5: Solve for x
    x = 1,075,377,956.13/37,123.95
  6. Step 6: Final answer
    x = 28,967.23

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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.