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Finding the Fourth Proportional to 70,181.34, 105,287.81 and 23,433

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Solution

The fourth proportional to 70,181.34, 105,287.81 and 23,433 is: 35,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,181.34 : 105,287.81 = 23,433 : x
  2. Step 2: Convert to fraction form
    70,181.34/105,287.81 = 23,433/x
  3. Step 3: Cross multiply
    70,181.34x = 105,287.81 × 23,433
  4. Step 4: Simplify right side
    70,181.34x = 2,467,209,134.57
  5. Step 5: Solve for x
    x = 2,467,209,134.57/70,181.34
  6. Step 6: Final answer
    x = 35,154.77

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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.