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Finding the Fourth Proportional to 31,693.92, 47,537.21 and 8,322.18

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Solution

The fourth proportional to 31,693.92, 47,537.21 and 8,322.18 is: 12,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.92 : 47,537.21 = 8,322.18 : x
  2. Step 2: Convert to fraction form
    31,693.92/47,537.21 = 8,322.18/x
  3. Step 3: Cross multiply
    31,693.92x = 47,537.21 × 8,322.18
  4. Step 4: Simplify right side
    31,693.92x = 395,613,060.86
  5. Step 5: Solve for x
    x = 395,613,060.86/31,693.92
  6. Step 6: Final answer
    x = 12,482.30

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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.