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Finding the Fourth Proportional to 31,897.32, 47,846 and 14,346.64

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Solution

The fourth proportional to 31,897.32, 47,846 and 14,346.64 is: 21,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.32 : 47,846 = 14,346.64 : x
  2. Step 2: Convert to fraction form
    31,897.32/47,846 = 14,346.64/x
  3. Step 3: Cross multiply
    31,897.32x = 47,846 × 14,346.64
  4. Step 4: Simplify right side
    31,897.32x = 686,429,337.44
  5. Step 5: Solve for x
    x = 686,429,337.44/31,897.32
  6. Step 6: Final answer
    x = 21,519.97

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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.