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Finding the Fourth Proportional to 70,352.29, 105,522.49 and 27,658.61

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Solution

The fourth proportional to 70,352.29, 105,522.49 and 27,658.61 is: 41,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,352.29 : 105,522.49 = 27,658.61 : x
  2. Step 2: Convert to fraction form
    70,352.29/105,522.49 = 27,658.61/x
  3. Step 3: Cross multiply
    70,352.29x = 105,522.49 × 27,658.61
  4. Step 4: Simplify right side
    70,352.29x = 2,918,605,397.14
  5. Step 5: Solve for x
    x = 2,918,605,397.14/70,352.29
  6. Step 6: Final answer
    x = 41,485.58

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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.