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Finding the Fourth Proportional to 70,182.96, 105,274.12 and 22,837.36

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Solution

The fourth proportional to 70,182.96, 105,274.12 and 22,837.36 is: 34,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182.96 : 105,274.12 = 22,837.36 : x
  2. Step 2: Convert to fraction form
    70,182.96/105,274.12 = 22,837.36/x
  3. Step 3: Cross multiply
    70,182.96x = 105,274.12 × 22,837.36
  4. Step 4: Simplify right side
    70,182.96x = 2,404,182,977.12
  5. Step 5: Solve for x
    x = 2,404,182,977.12/70,182.96
  6. Step 6: Final answer
    x = 34,255.94

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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.