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Finding the Fourth Proportional to 32,776.14, 49,171.50 and 9,400.75

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Solution

The fourth proportional to 32,776.14, 49,171.50 and 9,400.75 is: 14,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.14 : 49,171.50 = 9,400.75 : x
  2. Step 2: Convert to fraction form
    32,776.14/49,171.50 = 9,400.75/x
  3. Step 3: Cross multiply
    32,776.14x = 49,171.50 × 9,400.75
  4. Step 4: Simplify right side
    32,776.14x = 462,248,978.63
  5. Step 5: Solve for x
    x = 462,248,978.63/32,776.14
  6. Step 6: Final answer
    x = 14,103.22

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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.