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Finding the Fourth Proportional to 31,509.90, 47,220.30 and 17,476.11

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Solution

The fourth proportional to 31,509.90, 47,220.30 and 17,476.11 is: 26,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.90 : 47,220.30 = 17,476.11 : x
  2. Step 2: Convert to fraction form
    31,509.90/47,220.30 = 17,476.11/x
  3. Step 3: Cross multiply
    31,509.90x = 47,220.30 × 17,476.11
  4. Step 4: Simplify right side
    31,509.90x = 825,227,157.03
  5. Step 5: Solve for x
    x = 825,227,157.03/31,509.90
  6. Step 6: Final answer
    x = 26,189.46

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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.