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Finding the Fourth Proportional to 31,488.24, 47,189.16 and 30,542.16

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Solution

The fourth proportional to 31,488.24, 47,189.16 and 30,542.16 is: 45,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488.24 : 47,189.16 = 30,542.16 : x
  2. Step 2: Convert to fraction form
    31,488.24/47,189.16 = 30,542.16/x
  3. Step 3: Cross multiply
    31,488.24x = 47,189.16 × 30,542.16
  4. Step 4: Simplify right side
    31,488.24x = 1,441,258,874.99
  5. Step 5: Solve for x
    x = 1,441,258,874.99/31,488.24
  6. Step 6: Final answer
    x = 45,771.34

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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.