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Finding the Fourth Proportional to 32,857.80, 49,281.30 and 9,166.97

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Solution

The fourth proportional to 32,857.80, 49,281.30 and 9,166.97 is: 13,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.80 : 49,281.30 = 9,166.97 : x
  2. Step 2: Convert to fraction form
    32,857.80/49,281.30 = 9,166.97/x
  3. Step 3: Cross multiply
    32,857.80x = 49,281.30 × 9,166.97
  4. Step 4: Simplify right side
    32,857.80x = 451,759,952.25
  5. Step 5: Solve for x
    x = 451,759,952.25/32,857.80
  6. Step 6: Final answer
    x = 13,748.94

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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.