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Finding the Fourth Proportional to 70,966, 106,449 and 39,803.68

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Solution

The fourth proportional to 70,966, 106,449 and 39,803.68 is: 59,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,966 : 106,449 = 39,803.68 : x
  2. Step 2: Convert to fraction form
    70,966/106,449 = 39,803.68/x
  3. Step 3: Cross multiply
    70,966x = 106,449 × 39,803.68
  4. Step 4: Simplify right side
    70,966x = 4,237,061,932.32
  5. Step 5: Solve for x
    x = 4,237,061,932.32/70,966
  6. Step 6: Final answer
    x = 59,705.52

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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.