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Finding the Fourth Proportional to 84,376.40, 126,564.60 and 34,423.70

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Solution

The fourth proportional to 84,376.40, 126,564.60 and 34,423.70 is: 51,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,376.40 : 126,564.60 = 34,423.70 : x
  2. Step 2: Convert to fraction form
    84,376.40/126,564.60 = 34,423.70/x
  3. Step 3: Cross multiply
    84,376.40x = 126,564.60 × 34,423.70
  4. Step 4: Simplify right side
    84,376.40x = 4,356,821,821.02
  5. Step 5: Solve for x
    x = 4,356,821,821.02/84,376.40
  6. Step 6: Final answer
    x = 51,635.55

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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.