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Finding the Fourth Proportional to 70,564.56, 105,781.22 and 23,784.63

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Solution

The fourth proportional to 70,564.56, 105,781.22 and 23,784.63 is: 35,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,564.56 : 105,781.22 = 23,784.63 : x
  2. Step 2: Convert to fraction form
    70,564.56/105,781.22 = 23,784.63/x
  3. Step 3: Cross multiply
    70,564.56x = 105,781.22 × 23,784.63
  4. Step 4: Simplify right side
    70,564.56x = 2,515,967,178.65
  5. Step 5: Solve for x
    x = 2,515,967,178.65/70,564.56
  6. Step 6: Final answer
    x = 35,654.83

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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.