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Finding the Fourth Proportional to 107,033.94, 147,706.85 and 59,290.38

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Solution

The fourth proportional to 107,033.94, 147,706.85 and 59,290.38 is: 81,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,033.94 : 147,706.85 = 59,290.38 : x
  2. Step 2: Convert to fraction form
    107,033.94/147,706.85 = 59,290.38/x
  3. Step 3: Cross multiply
    107,033.94x = 147,706.85 × 59,290.38
  4. Step 4: Simplify right side
    107,033.94x = 8,757,595,265.10
  5. Step 5: Solve for x
    x = 8,757,595,265.10/107,033.94
  6. Step 6: Final answer
    x = 81,820.73

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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.