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Finding the Fourth Proportional to 31,370.91, 47,061.09 and 9,181.50

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Solution

The fourth proportional to 31,370.91, 47,061.09 and 9,181.50 is: 13,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.91 : 47,061.09 = 9,181.50 : x
  2. Step 2: Convert to fraction form
    31,370.91/47,061.09 = 9,181.50/x
  3. Step 3: Cross multiply
    31,370.91x = 47,061.09 × 9,181.50
  4. Step 4: Simplify right side
    31,370.91x = 432,091,397.84
  5. Step 5: Solve for x
    x = 432,091,397.84/31,370.91
  6. Step 6: Final answer
    x = 13,773.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.