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Finding the Fourth Proportional to 31,686.58, 47,616.03 and 16,905.94

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Solution

The fourth proportional to 31,686.58, 47,616.03 and 16,905.94 is: 25,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.58 : 47,616.03 = 16,905.94 : x
  2. Step 2: Convert to fraction form
    31,686.58/47,616.03 = 16,905.94/x
  3. Step 3: Cross multiply
    31,686.58x = 47,616.03 × 16,905.94
  4. Step 4: Simplify right side
    31,686.58x = 804,993,746.22
  5. Step 5: Solve for x
    x = 804,993,746.22/31,686.58
  6. Step 6: Final answer
    x = 25,404.88

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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.