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Finding the Fourth Proportional to 31,484.88, 47,234.25 and 10,431.45

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Solution

The fourth proportional to 31,484.88, 47,234.25 and 10,431.45 is: 15,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,484.88 : 47,234.25 = 10,431.45 : x
  2. Step 2: Convert to fraction form
    31,484.88/47,234.25 = 10,431.45/x
  3. Step 3: Cross multiply
    31,484.88x = 47,234.25 × 10,431.45
  4. Step 4: Simplify right side
    31,484.88x = 492,721,717.16
  5. Step 5: Solve for x
    x = 492,721,717.16/31,484.88
  6. Step 6: Final answer
    x = 15,649.47

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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.