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Finding the Fourth Proportional to 83,302.69, 114,910.99 and 51,052.93

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Solution

The fourth proportional to 83,302.69, 114,910.99 and 51,052.93 is: 70,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302.69 : 114,910.99 = 51,052.93 : x
  2. Step 2: Convert to fraction form
    83,302.69/114,910.99 = 51,052.93/x
  3. Step 3: Cross multiply
    83,302.69x = 114,910.99 × 51,052.93
  4. Step 4: Simplify right side
    83,302.69x = 5,866,543,175.54
  5. Step 5: Solve for x
    x = 5,866,543,175.54/83,302.69
  6. Step 6: Final answer
    x = 70,424.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.