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Finding the Fourth Proportional to 75,602, 113,428.51 and 33,476.28

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Solution

The fourth proportional to 75,602, 113,428.51 and 33,476.28 is: 50,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,602 : 113,428.51 = 33,476.28 : x
  2. Step 2: Convert to fraction form
    75,602/113,428.51 = 33,476.28/x
  3. Step 3: Cross multiply
    75,602x = 113,428.51 × 33,476.28
  4. Step 4: Simplify right side
    75,602x = 3,797,164,560.74
  5. Step 5: Solve for x
    x = 3,797,164,560.74/75,602
  6. Step 6: Final answer
    x = 50,225.72

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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.