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Finding the Fourth Proportional to 83,894.36, 125,885.26 and 34,011.32

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Solution

The fourth proportional to 83,894.36, 125,885.26 and 34,011.32 is: 51,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.36 : 125,885.26 = 34,011.32 : x
  2. Step 2: Convert to fraction form
    83,894.36/125,885.26 = 34,011.32/x
  3. Step 3: Cross multiply
    83,894.36x = 125,885.26 × 34,011.32
  4. Step 4: Simplify right side
    83,894.36x = 4,281,523,861.14
  5. Step 5: Solve for x
    x = 4,281,523,861.14/83,894.36
  6. Step 6: Final answer
    x = 51,034.70

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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.