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Finding the Fourth Proportional to 70,705.42, 106,106.82 and 29,152.42

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Solution

The fourth proportional to 70,705.42, 106,106.82 and 29,152.42 is: 43,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.42 : 106,106.82 = 29,152.42 : x
  2. Step 2: Convert to fraction form
    70,705.42/106,106.82 = 29,152.42/x
  3. Step 3: Cross multiply
    70,705.42x = 106,106.82 × 29,152.42
  4. Step 4: Simplify right side
    70,705.42x = 3,093,270,581.50
  5. Step 5: Solve for x
    x = 3,093,270,581.50/70,705.42
  6. Step 6: Final answer
    x = 43,748.71

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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.