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Finding the Fourth Proportional to 31,776.42, 47,655.48 and 12,801

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Solution

The fourth proportional to 31,776.42, 47,655.48 and 12,801 is: 19,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.42 : 47,655.48 = 12,801 : x
  2. Step 2: Convert to fraction form
    31,776.42/47,655.48 = 12,801/x
  3. Step 3: Cross multiply
    31,776.42x = 47,655.48 × 12,801
  4. Step 4: Simplify right side
    31,776.42x = 610,037,799.48
  5. Step 5: Solve for x
    x = 610,037,799.48/31,776.42
  6. Step 6: Final answer
    x = 19,197.81

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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.