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Finding the Fourth Proportional to 42,532.56, 63,798.84 and 11,367

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Solution

The fourth proportional to 42,532.56, 63,798.84 and 11,367 is: 17,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,532.56 : 63,798.84 = 11,367 : x
  2. Step 2: Convert to fraction form
    42,532.56/63,798.84 = 11,367/x
  3. Step 3: Cross multiply
    42,532.56x = 63,798.84 × 11,367
  4. Step 4: Simplify right side
    42,532.56x = 725,201,414.28
  5. Step 5: Solve for x
    x = 725,201,414.28/42,532.56
  6. Step 6: Final answer
    x = 17,050.50

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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.