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Finding the Fourth Proportional to 31,953.10, 47,927.90 and 9,766.47

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Solution

The fourth proportional to 31,953.10, 47,927.90 and 9,766.47 is: 14,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.10 : 47,927.90 = 9,766.47 : x
  2. Step 2: Convert to fraction form
    31,953.10/47,927.90 = 9,766.47/x
  3. Step 3: Cross multiply
    31,953.10x = 47,927.90 × 9,766.47
  4. Step 4: Simplify right side
    31,953.10x = 468,086,133.46
  5. Step 5: Solve for x
    x = 468,086,133.46/31,953.10
  6. Step 6: Final answer
    x = 14,649.16

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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.