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Finding the Fourth Proportional to 96,355.71, 144,536.74 and 33,175.17

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Solution

The fourth proportional to 96,355.71, 144,536.74 and 33,175.17 is: 49,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,355.71 : 144,536.74 = 33,175.17 : x
  2. Step 2: Convert to fraction form
    96,355.71/144,536.74 = 33,175.17/x
  3. Step 3: Cross multiply
    96,355.71x = 144,536.74 × 33,175.17
  4. Step 4: Simplify right side
    96,355.71x = 4,795,030,837.81
  5. Step 5: Solve for x
    x = 4,795,030,837.81/96,355.71
  6. Step 6: Final answer
    x = 49,763.85

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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.