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Finding the Fourth Proportional to 32,685, 49,043.64 and 12,963.12

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Solution

The fourth proportional to 32,685, 49,043.64 and 12,963.12 is: 19,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,685 : 49,043.64 = 12,963.12 : x
  2. Step 2: Convert to fraction form
    32,685/49,043.64 = 12,963.12/x
  3. Step 3: Cross multiply
    32,685x = 49,043.64 × 12,963.12
  4. Step 4: Simplify right side
    32,685x = 635,758,590.56
  5. Step 5: Solve for x
    x = 635,758,590.56/32,685
  6. Step 6: Final answer
    x = 19,451.08

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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.