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Finding the Fourth Proportional to 31,963.42, 47,953.83 and 9,776.30

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Solution

The fourth proportional to 31,963.42, 47,953.83 and 9,776.30 is: 14,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.42 : 47,953.83 = 9,776.30 : x
  2. Step 2: Convert to fraction form
    31,963.42/47,953.83 = 9,776.30/x
  3. Step 3: Cross multiply
    31,963.42x = 47,953.83 × 9,776.30
  4. Step 4: Simplify right side
    31,963.42x = 468,811,028.23
  5. Step 5: Solve for x
    x = 468,811,028.23/31,963.42
  6. Step 6: Final answer
    x = 14,667.11

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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.