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Finding the Fourth Proportional to 32,864.34, 49,296.54 and 9,170.94

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Solution

The fourth proportional to 32,864.34, 49,296.54 and 9,170.94 is: 13,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864.34 : 49,296.54 = 9,170.94 : x
  2. Step 2: Convert to fraction form
    32,864.34/49,296.54 = 9,170.94/x
  3. Step 3: Cross multiply
    32,864.34x = 49,296.54 × 9,170.94
  4. Step 4: Simplify right side
    32,864.34x = 452,095,610.55
  5. Step 5: Solve for x
    x = 452,095,610.55/32,864.34
  6. Step 6: Final answer
    x = 13,756.42

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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.