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Finding the Fourth Proportional to 42,794.88, 64,181.28 and 12,803.20

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Solution

The fourth proportional to 42,794.88, 64,181.28 and 12,803.20 is: 19,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,794.88 : 64,181.28 = 12,803.20 : x
  2. Step 2: Convert to fraction form
    42,794.88/64,181.28 = 12,803.20/x
  3. Step 3: Cross multiply
    42,794.88x = 64,181.28 × 12,803.20
  4. Step 4: Simplify right side
    42,794.88x = 821,725,764.10
  5. Step 5: Solve for x
    x = 821,725,764.10/42,794.88
  6. Step 6: Final answer
    x = 19,201.50

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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.