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Finding the Fourth Proportional to 70,822.50, 106,238.61 and 23,437.50

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Solution

The fourth proportional to 70,822.50, 106,238.61 and 23,437.50 is: 35,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822.50 : 106,238.61 = 23,437.50 : x
  2. Step 2: Convert to fraction form
    70,822.50/106,238.61 = 23,437.50/x
  3. Step 3: Cross multiply
    70,822.50x = 106,238.61 × 23,437.50
  4. Step 4: Simplify right side
    70,822.50x = 2,489,967,421.88
  5. Step 5: Solve for x
    x = 2,489,967,421.88/70,822.50
  6. Step 6: Final answer
    x = 35,157.86

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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.