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Finding the Fourth Proportional to 83,794.98, 115,639.14 and 46,069.30

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Solution

The fourth proportional to 83,794.98, 115,639.14 and 46,069.30 is: 63,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.98 : 115,639.14 = 46,069.30 : x
  2. Step 2: Convert to fraction form
    83,794.98/115,639.14 = 46,069.30/x
  3. Step 3: Cross multiply
    83,794.98x = 115,639.14 × 46,069.30
  4. Step 4: Simplify right side
    83,794.98x = 5,327,414,232.40
  5. Step 5: Solve for x
    x = 5,327,414,232.40/83,794.98
  6. Step 6: Final answer
    x = 63,576.77

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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.