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Finding the Fourth Proportional to 49,993.76, 75,011.36 and 21,899.28

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Solution

The fourth proportional to 49,993.76, 75,011.36 and 21,899.28 is: 32,858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,993.76 : 75,011.36 = 21,899.28 : x
  2. Step 2: Convert to fraction form
    49,993.76/75,011.36 = 21,899.28/x
  3. Step 3: Cross multiply
    49,993.76x = 75,011.36 × 21,899.28
  4. Step 4: Simplify right side
    49,993.76x = 1,642,694,775.82
  5. Step 5: Solve for x
    x = 1,642,694,775.82/49,993.76
  6. Step 6: Final answer
    x = 32,858.00

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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.