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Finding the Fourth Proportional to 69,812.34, 104,678.82 and 47,652.54

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Solution

The fourth proportional to 69,812.34, 104,678.82 and 47,652.54 is: 71,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,812.34 : 104,678.82 = 47,652.54 : x
  2. Step 2: Convert to fraction form
    69,812.34/104,678.82 = 47,652.54/x
  3. Step 3: Cross multiply
    69,812.34x = 104,678.82 × 47,652.54
  4. Step 4: Simplify right side
    69,812.34x = 4,988,211,657.20
  5. Step 5: Solve for x
    x = 4,988,211,657.20/69,812.34
  6. Step 6: Final answer
    x = 71,451.72

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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.