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Finding the Fourth Proportional to 32,730.57, 49,105.68 and 11,667.87

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Solution

The fourth proportional to 32,730.57, 49,105.68 and 11,667.87 is: 17,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,730.57 : 49,105.68 = 11,667.87 : x
  2. Step 2: Convert to fraction form
    32,730.57/49,105.68 = 11,667.87/x
  3. Step 3: Cross multiply
    32,730.57x = 49,105.68 × 11,667.87
  4. Step 4: Simplify right side
    32,730.57x = 572,958,690.50
  5. Step 5: Solve for x
    x = 572,958,690.50/32,730.57
  6. Step 6: Final answer
    x = 17,505.31

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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.