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Finding the Fourth Proportional to 38,251, 52,786.40 and 21,484

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Solution

The fourth proportional to 38,251, 52,786.40 and 21,484 is: 29,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,251 : 52,786.40 = 21,484 : x
  2. Step 2: Convert to fraction form
    38,251/52,786.40 = 21,484/x
  3. Step 3: Cross multiply
    38,251x = 52,786.40 × 21,484
  4. Step 4: Simplify right side
    38,251x = 1,134,063,017.60
  5. Step 5: Solve for x
    x = 1,134,063,017.60/38,251
  6. Step 6: Final answer
    x = 29,647.93

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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.