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Finding the Fourth Proportional to 47,651.76, 71,488.02 and 14,369.28

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Solution

The fourth proportional to 47,651.76, 71,488.02 and 14,369.28 is: 21,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,651.76 : 71,488.02 = 14,369.28 : x
  2. Step 2: Convert to fraction form
    47,651.76/71,488.02 = 14,369.28/x
  3. Step 3: Cross multiply
    47,651.76x = 71,488.02 × 14,369.28
  4. Step 4: Simplify right side
    47,651.76x = 1,027,231,376.03
  5. Step 5: Solve for x
    x = 1,027,231,376.03/47,651.76
  6. Step 6: Final answer
    x = 21,557.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.