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Finding the Fourth Proportional to 32,865, 49,309.02 and 14,398.44

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Solution

The fourth proportional to 32,865, 49,309.02 and 14,398.44 is: 21,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,865 : 49,309.02 = 14,398.44 : x
  2. Step 2: Convert to fraction form
    32,865/49,309.02 = 14,398.44/x
  3. Step 3: Cross multiply
    32,865x = 49,309.02 × 14,398.44
  4. Step 4: Simplify right side
    32,865x = 709,972,965.93
  5. Step 5: Solve for x
    x = 709,972,965.93/32,865
  6. Step 6: Final answer
    x = 21,602.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.