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Finding the Fourth Proportional to 32,503.25, 48,718.02 and 14,936.78

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Solution

The fourth proportional to 32,503.25, 48,718.02 and 14,936.78 is: 22,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.25 : 48,718.02 = 14,936.78 : x
  2. Step 2: Convert to fraction form
    32,503.25/48,718.02 = 14,936.78/x
  3. Step 3: Cross multiply
    32,503.25x = 48,718.02 × 14,936.78
  4. Step 4: Simplify right side
    32,503.25x = 727,690,346.78
  5. Step 5: Solve for x
    x = 727,690,346.78/32,503.25
  6. Step 6: Final answer
    x = 22,388.23

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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.