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Finding the Fourth Proportional to 96,243, 144,377.82 and 29,688.36

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Solution

The fourth proportional to 96,243, 144,377.82 and 29,688.36 is: 44,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,243 : 144,377.82 = 29,688.36 : x
  2. Step 2: Convert to fraction form
    96,243/144,377.82 = 29,688.36/x
  3. Step 3: Cross multiply
    96,243x = 144,377.82 × 29,688.36
  4. Step 4: Simplify right side
    96,243x = 4,286,340,696.18
  5. Step 5: Solve for x
    x = 4,286,340,696.18/96,243
  6. Step 6: Final answer
    x = 44,536.65

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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.