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Finding the Fourth Proportional to 31,870.80, 47,806.20 and 26,233.20

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Solution

The fourth proportional to 31,870.80, 47,806.20 and 26,233.20 is: 39,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.80 : 47,806.20 = 26,233.20 : x
  2. Step 2: Convert to fraction form
    31,870.80/47,806.20 = 26,233.20/x
  3. Step 3: Cross multiply
    31,870.80x = 47,806.20 × 26,233.20
  4. Step 4: Simplify right side
    31,870.80x = 1,254,109,605.84
  5. Step 5: Solve for x
    x = 1,254,109,605.84/31,870.80
  6. Step 6: Final answer
    x = 39,349.80

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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.