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Finding the Fourth Proportional to 38,246.50, 52,785.12 and 21,479.50

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Solution

The fourth proportional to 38,246.50, 52,785.12 and 21,479.50 is: 29,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246.50 : 52,785.12 = 21,479.50 : x
  2. Step 2: Convert to fraction form
    38,246.50/52,785.12 = 21,479.50/x
  3. Step 3: Cross multiply
    38,246.50x = 52,785.12 × 21,479.50
  4. Step 4: Simplify right side
    38,246.50x = 1,133,797,985.04
  5. Step 5: Solve for x
    x = 1,133,797,985.04/38,246.50
  6. Step 6: Final answer
    x = 29,644.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.