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Finding the Fourth Proportional to 71,000.10, 106,370.55 and 43,265.70

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Solution

The fourth proportional to 71,000.10, 106,370.55 and 43,265.70 is: 64,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000.10 : 106,370.55 = 43,265.70 : x
  2. Step 2: Convert to fraction form
    71,000.10/106,370.55 = 43,265.70/x
  3. Step 3: Cross multiply
    71,000.10x = 106,370.55 × 43,265.70
  4. Step 4: Simplify right side
    71,000.10x = 4,602,196,305.14
  5. Step 5: Solve for x
    x = 4,602,196,305.14/71,000.10
  6. Step 6: Final answer
    x = 64,819.57

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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.