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Finding the Fourth Proportional to 31,443.30, 47,164.95 and 10,666.98

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Solution

The fourth proportional to 31,443.30, 47,164.95 and 10,666.98 is: 16,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443.30 : 47,164.95 = 10,666.98 : x
  2. Step 2: Convert to fraction form
    31,443.30/47,164.95 = 10,666.98/x
  3. Step 3: Cross multiply
    31,443.30x = 47,164.95 × 10,666.98
  4. Step 4: Simplify right side
    31,443.30x = 503,107,578.35
  5. Step 5: Solve for x
    x = 503,107,578.35/31,443.30
  6. Step 6: Final answer
    x = 16,000.47

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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.