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Finding the Fourth Proportional to 82,794.06, 114,264.54 and 50,962.32

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Solution

The fourth proportional to 82,794.06, 114,264.54 and 50,962.32 is: 70,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,794.06 : 114,264.54 = 50,962.32 : x
  2. Step 2: Convert to fraction form
    82,794.06/114,264.54 = 50,962.32/x
  3. Step 3: Cross multiply
    82,794.06x = 114,264.54 × 50,962.32
  4. Step 4: Simplify right side
    82,794.06x = 5,823,186,052.13
  5. Step 5: Solve for x
    x = 5,823,186,052.13/82,794.06
  6. Step 6: Final answer
    x = 70,333.38

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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.