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Finding the Fourth Proportional to 42,620.28, 63,933.34 and 14,533

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Solution

The fourth proportional to 42,620.28, 63,933.34 and 14,533 is: 21,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,620.28 : 63,933.34 = 14,533 : x
  2. Step 2: Convert to fraction form
    42,620.28/63,933.34 = 14,533/x
  3. Step 3: Cross multiply
    42,620.28x = 63,933.34 × 14,533
  4. Step 4: Simplify right side
    42,620.28x = 929,143,230.22
  5. Step 5: Solve for x
    x = 929,143,230.22/42,620.28
  6. Step 6: Final answer
    x = 21,800.50

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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.