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Finding the Fourth Proportional to 31,500.62, 47,260.16 and 9,314.58

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Solution

The fourth proportional to 31,500.62, 47,260.16 and 9,314.58 is: 13,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.62 : 47,260.16 = 9,314.58 : x
  2. Step 2: Convert to fraction form
    31,500.62/47,260.16 = 9,314.58/x
  3. Step 3: Cross multiply
    31,500.62x = 47,260.16 × 9,314.58
  4. Step 4: Simplify right side
    31,500.62x = 440,208,328.12
  5. Step 5: Solve for x
    x = 440,208,328.12/31,500.62
  6. Step 6: Final answer
    x = 13,974.59

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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.