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Finding the Fourth Proportional to 30,571.32, 42,189.35 and 17,143.82

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Solution

The fourth proportional to 30,571.32, 42,189.35 and 17,143.82 is: 23,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.32 : 42,189.35 = 17,143.82 : x
  2. Step 2: Convert to fraction form
    30,571.32/42,189.35 = 17,143.82/x
  3. Step 3: Cross multiply
    30,571.32x = 42,189.35 × 17,143.82
  4. Step 4: Simplify right side
    30,571.32x = 723,286,325.65
  5. Step 5: Solve for x
    x = 723,286,325.65/30,571.32
  6. Step 6: Final answer
    x = 23,658.98

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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.