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Finding the Fourth Proportional to 31,644.15, 47,468.66 and 9,455.82

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Solution

The fourth proportional to 31,644.15, 47,468.66 and 9,455.82 is: 14,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.15 : 47,468.66 = 9,455.82 : x
  2. Step 2: Convert to fraction form
    31,644.15/47,468.66 = 9,455.82/x
  3. Step 3: Cross multiply
    31,644.15x = 47,468.66 × 9,455.82
  4. Step 4: Simplify right side
    31,644.15x = 448,855,057.32
  5. Step 5: Solve for x
    x = 448,855,057.32/31,644.15
  6. Step 6: Final answer
    x = 14,184.46

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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.