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Finding the Fourth Proportional to 75,639.89, 113,407.30 and 33,497.01

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Solution

The fourth proportional to 75,639.89, 113,407.30 and 33,497.01 is: 50,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,639.89 : 113,407.30 = 33,497.01 : x
  2. Step 2: Convert to fraction form
    75,639.89/113,407.30 = 33,497.01/x
  3. Step 3: Cross multiply
    75,639.89x = 113,407.30 × 33,497.01
  4. Step 4: Simplify right side
    75,639.89x = 3,798,805,504.04
  5. Step 5: Solve for x
    x = 3,798,805,504.04/75,639.89
  6. Step 6: Final answer
    x = 50,222.25

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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.