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Finding the Fourth Proportional to 39,852, 59,803.92 and 15,228

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Solution

The fourth proportional to 39,852, 59,803.92 and 15,228 is: 22,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,852 : 59,803.92 = 15,228 : x
  2. Step 2: Convert to fraction form
    39,852/59,803.92 = 15,228/x
  3. Step 3: Cross multiply
    39,852x = 59,803.92 × 15,228
  4. Step 4: Simplify right side
    39,852x = 910,694,093.76
  5. Step 5: Solve for x
    x = 910,694,093.76/39,852
  6. Step 6: Final answer
    x = 22,851.90

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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.