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Finding the Fourth Proportional to 57,206.62, 85,804.47 and 35,008.57

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Solution

The fourth proportional to 57,206.62, 85,804.47 and 35,008.57 is: 52,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206.62 : 85,804.47 = 35,008.57 : x
  2. Step 2: Convert to fraction form
    57,206.62/85,804.47 = 35,008.57/x
  3. Step 3: Cross multiply
    57,206.62x = 85,804.47 × 35,008.57
  4. Step 4: Simplify right side
    57,206.62x = 3,003,891,794.31
  5. Step 5: Solve for x
    x = 3,003,891,794.31/57,206.62
  6. Step 6: Final answer
    x = 52,509.51

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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.