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Finding the Fourth Proportional to 31,803.84, 47,691.18 and 9,619.56

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Solution

The fourth proportional to 31,803.84, 47,691.18 and 9,619.56 is: 14,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.84 : 47,691.18 = 9,619.56 : x
  2. Step 2: Convert to fraction form
    31,803.84/47,691.18 = 9,619.56/x
  3. Step 3: Cross multiply
    31,803.84x = 47,691.18 × 9,619.56
  4. Step 4: Simplify right side
    31,803.84x = 458,768,167.48
  5. Step 5: Solve for x
    x = 458,768,167.48/31,803.84
  6. Step 6: Final answer
    x = 14,424.93

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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.