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Finding the Fourth Proportional to 37,530.24, 51,785.64 and 20,760

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Solution

The fourth proportional to 37,530.24, 51,785.64 and 20,760 is: 28,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,530.24 : 51,785.64 = 20,760 : x
  2. Step 2: Convert to fraction form
    37,530.24/51,785.64 = 20,760/x
  3. Step 3: Cross multiply
    37,530.24x = 51,785.64 × 20,760
  4. Step 4: Simplify right side
    37,530.24x = 1,075,069,886.40
  5. Step 5: Solve for x
    x = 1,075,069,886.40/37,530.24
  6. Step 6: Final answer
    x = 28,645.43

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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.