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Finding the Fourth Proportional to 38,245.68, 52,778.88 and 21,478.32

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Solution

The fourth proportional to 38,245.68, 52,778.88 and 21,478.32 is: 29,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.68 : 52,778.88 = 21,478.32 : x
  2. Step 2: Convert to fraction form
    38,245.68/52,778.88 = 21,478.32/x
  3. Step 3: Cross multiply
    38,245.68x = 52,778.88 × 21,478.32
  4. Step 4: Simplify right side
    38,245.68x = 1,133,601,673.88
  5. Step 5: Solve for x
    x = 1,133,601,673.88/38,245.68
  6. Step 6: Final answer
    x = 29,639.99

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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.