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Finding the Fourth Proportional to 82,995.70, 114,530.75 and 49,015.13

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Solution

The fourth proportional to 82,995.70, 114,530.75 and 49,015.13 is: 67,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,995.70 : 114,530.75 = 49,015.13 : x
  2. Step 2: Convert to fraction form
    82,995.70/114,530.75 = 49,015.13/x
  3. Step 3: Cross multiply
    82,995.70x = 114,530.75 × 49,015.13
  4. Step 4: Simplify right side
    82,995.70x = 5,613,739,863.75
  5. Step 5: Solve for x
    x = 5,613,739,863.75/82,995.70
  6. Step 6: Final answer
    x = 67,638.93

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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.