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Finding the Fourth Proportional to 38,245.36, 52,778.28 and 21,478

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Solution

The fourth proportional to 38,245.36, 52,778.28 and 21,478 is: 29,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.36 : 52,778.28 = 21,478 : x
  2. Step 2: Convert to fraction form
    38,245.36/52,778.28 = 21,478/x
  3. Step 3: Cross multiply
    38,245.36x = 52,778.28 × 21,478
  4. Step 4: Simplify right side
    38,245.36x = 1,133,571,897.84
  5. Step 5: Solve for x
    x = 1,133,571,897.84/38,245.36
  6. Step 6: Final answer
    x = 29,639.46

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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.