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Finding the Fourth Proportional to 31,522.80, 47,284.20 and 31,304.10

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Solution

The fourth proportional to 31,522.80, 47,284.20 and 31,304.10 is: 46,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522.80 : 47,284.20 = 31,304.10 : x
  2. Step 2: Convert to fraction form
    31,522.80/47,284.20 = 31,304.10/x
  3. Step 3: Cross multiply
    31,522.80x = 47,284.20 × 31,304.10
  4. Step 4: Simplify right side
    31,522.80x = 1,480,189,325.22
  5. Step 5: Solve for x
    x = 1,480,189,325.22/31,522.80
  6. Step 6: Final answer
    x = 46,956.15

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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.