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Finding the Fourth Proportional to 70,388.46, 105,583.50 and 23,641.34

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Solution

The fourth proportional to 70,388.46, 105,583.50 and 23,641.34 is: 35,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,388.46 : 105,583.50 = 23,641.34 : x
  2. Step 2: Convert to fraction form
    70,388.46/105,583.50 = 23,641.34/x
  3. Step 3: Cross multiply
    70,388.46x = 105,583.50 × 23,641.34
  4. Step 4: Simplify right side
    70,388.46x = 2,496,134,893.97
  5. Step 5: Solve for x
    x = 2,496,134,893.97/70,388.46
  6. Step 6: Final answer
    x = 35,462.27

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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.