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Finding the Fourth Proportional to 70,595.41, 105,862.03 and 33,166.12

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Solution

The fourth proportional to 70,595.41, 105,862.03 and 33,166.12 is: 49,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,595.41 : 105,862.03 = 33,166.12 : x
  2. Step 2: Convert to fraction form
    70,595.41/105,862.03 = 33,166.12/x
  3. Step 3: Cross multiply
    70,595.41x = 105,862.03 × 33,166.12
  4. Step 4: Simplify right side
    70,595.41x = 3,511,032,790.42
  5. Step 5: Solve for x
    x = 3,511,032,790.42/70,595.41
  6. Step 6: Final answer
    x = 49,734.58

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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.