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Finding the Fourth Proportional to 52,609.46, 78,914.91 and 29,383.70

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Solution

The fourth proportional to 52,609.46, 78,914.91 and 29,383.70 is: 44,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,609.46 : 78,914.91 = 29,383.70 : x
  2. Step 2: Convert to fraction form
    52,609.46/78,914.91 = 29,383.70/x
  3. Step 3: Cross multiply
    52,609.46x = 78,914.91 × 29,383.70
  4. Step 4: Simplify right side
    52,609.46x = 2,318,812,040.97
  5. Step 5: Solve for x
    x = 2,318,812,040.97/52,609.46
  6. Step 6: Final answer
    x = 44,075.95

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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.