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Finding the Fourth Proportional to 70,546.78, 105,813.69 and 23,800.06

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Solution

The fourth proportional to 70,546.78, 105,813.69 and 23,800.06 is: 35,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,546.78 : 105,813.69 = 23,800.06 : x
  2. Step 2: Convert to fraction form
    70,546.78/105,813.69 = 23,800.06/x
  3. Step 3: Cross multiply
    70,546.78x = 105,813.69 × 23,800.06
  4. Step 4: Simplify right side
    70,546.78x = 2,518,372,170.82
  5. Step 5: Solve for x
    x = 2,518,372,170.82/70,546.78
  6. Step 6: Final answer
    x = 35,697.90

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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.