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Finding the Fourth Proportional to 32,832.69, 49,250.12 and 10,646.25

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Solution

The fourth proportional to 32,832.69, 49,250.12 and 10,646.25 is: 15,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.69 : 49,250.12 = 10,646.25 : x
  2. Step 2: Convert to fraction form
    32,832.69/49,250.12 = 10,646.25/x
  3. Step 3: Cross multiply
    32,832.69x = 49,250.12 × 10,646.25
  4. Step 4: Simplify right side
    32,832.69x = 524,329,036.82
  5. Step 5: Solve for x
    x = 524,329,036.82/32,832.69
  6. Step 6: Final answer
    x = 15,969.73

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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.