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Finding the Fourth Proportional to 70,878.69, 106,281.13 and 33,428.71

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Solution

The fourth proportional to 70,878.69, 106,281.13 and 33,428.71 is: 50,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.69 : 106,281.13 = 33,428.71 : x
  2. Step 2: Convert to fraction form
    70,878.69/106,281.13 = 33,428.71/x
  3. Step 3: Cross multiply
    70,878.69x = 106,281.13 × 33,428.71
  4. Step 4: Simplify right side
    70,878.69x = 3,552,841,073.24
  5. Step 5: Solve for x
    x = 3,552,841,073.24/70,878.69
  6. Step 6: Final answer
    x = 50,125.66

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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.