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Finding the Fourth Proportional to 77,083.97, 115,555.82 and 29,668.82

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Solution

The fourth proportional to 77,083.97, 115,555.82 and 29,668.82 is: 44,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,083.97 : 115,555.82 = 29,668.82 : x
  2. Step 2: Convert to fraction form
    77,083.97/115,555.82 = 29,668.82/x
  3. Step 3: Cross multiply
    77,083.97x = 115,555.82 × 29,668.82
  4. Step 4: Simplify right side
    77,083.97x = 3,428,404,097.41
  5. Step 5: Solve for x
    x = 3,428,404,097.41/77,083.97
  6. Step 6: Final answer
    x = 44,476.23

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1.5x scale

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.