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Finding the Fourth Proportional to 70,247.92, 105,371.76 and 32,795.44

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Solution

The fourth proportional to 70,247.92, 105,371.76 and 32,795.44 is: 49,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,247.92 : 105,371.76 = 32,795.44 : x
  2. Step 2: Convert to fraction form
    70,247.92/105,371.76 = 32,795.44/x
  3. Step 3: Cross multiply
    70,247.92x = 105,371.76 × 32,795.44
  4. Step 4: Simplify right side
    70,247.92x = 3,455,713,232.77
  5. Step 5: Solve for x
    x = 3,455,713,232.77/70,247.92
  6. Step 6: Final answer
    x = 49,193.10

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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.