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Finding the Fourth Proportional to 32,959.40, 49,429 and 11,896.87

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Solution

The fourth proportional to 32,959.40, 49,429 and 11,896.87 is: 17,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.40 : 49,429 = 11,896.87 : x
  2. Step 2: Convert to fraction form
    32,959.40/49,429 = 11,896.87/x
  3. Step 3: Cross multiply
    32,959.40x = 49,429 × 11,896.87
  4. Step 4: Simplify right side
    32,959.40x = 588,050,387.23
  5. Step 5: Solve for x
    x = 588,050,387.23/32,959.40
  6. Step 6: Final answer
    x = 17,841.66

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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.