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Finding the Fourth Proportional to 31,515.90, 47,211.45 and 20,430.30

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Solution

The fourth proportional to 31,515.90, 47,211.45 and 20,430.30 is: 30,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515.90 : 47,211.45 = 20,430.30 : x
  2. Step 2: Convert to fraction form
    31,515.90/47,211.45 = 20,430.30/x
  3. Step 3: Cross multiply
    31,515.90x = 47,211.45 × 20,430.30
  4. Step 4: Simplify right side
    31,515.90x = 964,544,086.94
  5. Step 5: Solve for x
    x = 964,544,086.94/31,515.90
  6. Step 6: Final answer
    x = 30,605.00

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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.