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Finding the Fourth Proportional to 71,164.82, 106,599.58 and 41,492.66

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Solution

The fourth proportional to 71,164.82, 106,599.58 and 41,492.66 is: 62,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.82 : 106,599.58 = 41,492.66 : x
  2. Step 2: Convert to fraction form
    71,164.82/106,599.58 = 41,492.66/x
  3. Step 3: Cross multiply
    71,164.82x = 106,599.58 × 41,492.66
  4. Step 4: Simplify right side
    71,164.82x = 4,423,100,129.08
  5. Step 5: Solve for x
    x = 4,423,100,129.08/71,164.82
  6. Step 6: Final answer
    x = 62,152.90

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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.