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Finding the Fourth Proportional to 70,105.91, 96,766.85 and 48,892.01

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Solution

The fourth proportional to 70,105.91, 96,766.85 and 48,892.01 is: 67,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.91 : 96,766.85 = 48,892.01 : x
  2. Step 2: Convert to fraction form
    70,105.91/96,766.85 = 48,892.01/x
  3. Step 3: Cross multiply
    70,105.91x = 96,766.85 × 48,892.01
  4. Step 4: Simplify right side
    70,105.91x = 4,731,125,436.26
  5. Step 5: Solve for x
    x = 4,731,125,436.26/70,105.91
  6. Step 6: Final answer
    x = 67,485.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.