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Finding the Fourth Proportional to 70,046.84, 96,664.96 and 38,216.40

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Solution

The fourth proportional to 70,046.84, 96,664.96 and 38,216.40 is: 52,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,046.84 : 96,664.96 = 38,216.40 : x
  2. Step 2: Convert to fraction form
    70,046.84/96,664.96 = 38,216.40/x
  3. Step 3: Cross multiply
    70,046.84x = 96,664.96 × 38,216.40
  4. Step 4: Simplify right side
    70,046.84x = 3,694,186,777.34
  5. Step 5: Solve for x
    x = 3,694,186,777.34/70,046.84
  6. Step 6: Final answer
    x = 52,738.81

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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.