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Finding the Fourth Proportional to 32,667.90, 49,006.17 and 10,473.90

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Solution

The fourth proportional to 32,667.90, 49,006.17 and 10,473.90 is: 15,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667.90 : 49,006.17 = 10,473.90 : x
  2. Step 2: Convert to fraction form
    32,667.90/49,006.17 = 10,473.90/x
  3. Step 3: Cross multiply
    32,667.90x = 49,006.17 × 10,473.90
  4. Step 4: Simplify right side
    32,667.90x = 513,285,723.96
  5. Step 5: Solve for x
    x = 513,285,723.96/32,667.90
  6. Step 6: Final answer
    x = 15,712.24

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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.