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Finding the Fourth Proportional to 70,688.30, 106,049.88 and 35,166.48

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Solution

The fourth proportional to 70,688.30, 106,049.88 and 35,166.48 is: 52,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,688.30 : 106,049.88 = 35,166.48 : x
  2. Step 2: Convert to fraction form
    70,688.30/106,049.88 = 35,166.48/x
  3. Step 3: Cross multiply
    70,688.30x = 106,049.88 × 35,166.48
  4. Step 4: Simplify right side
    70,688.30x = 3,729,400,984.02
  5. Step 5: Solve for x
    x = 3,729,400,984.02/70,688.30
  6. Step 6: Final answer
    x = 52,758.39

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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.