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Finding the Fourth Proportional to 57,206.42, 85,750.06 and 19,227.50

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Solution

The fourth proportional to 57,206.42, 85,750.06 and 19,227.50 is: 28,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206.42 : 85,750.06 = 19,227.50 : x
  2. Step 2: Convert to fraction form
    57,206.42/85,750.06 = 19,227.50/x
  3. Step 3: Cross multiply
    57,206.42x = 85,750.06 × 19,227.50
  4. Step 4: Simplify right side
    57,206.42x = 1,648,758,849.90
  5. Step 5: Solve for x
    x = 1,648,758,849.90/57,206.42
  6. Step 6: Final answer
    x = 28,821.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.