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Finding the Fourth Proportional to 70,829.15, 106,251.53 and 23,426.98

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Solution

The fourth proportional to 70,829.15, 106,251.53 and 23,426.98 is: 35,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,829.15 : 106,251.53 = 23,426.98 : x
  2. Step 2: Convert to fraction form
    70,829.15/106,251.53 = 23,426.98/x
  3. Step 3: Cross multiply
    70,829.15x = 106,251.53 × 23,426.98
  4. Step 4: Simplify right side
    70,829.15x = 2,489,152,468.28
  5. Step 5: Solve for x
    x = 2,489,152,468.28/70,829.15
  6. Step 6: Final answer
    x = 35,143.05

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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.