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Finding the Fourth Proportional to 82,802, 114,295.56 and 49,267.28

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Solution

The fourth proportional to 82,802, 114,295.56 and 49,267.28 is: 68,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,802 : 114,295.56 = 49,267.28 : x
  2. Step 2: Convert to fraction form
    82,802/114,295.56 = 49,267.28/x
  3. Step 3: Cross multiply
    82,802x = 114,295.56 × 49,267.28
  4. Step 4: Simplify right side
    82,802x = 5,631,031,357.28
  5. Step 5: Solve for x
    x = 5,631,031,357.28/82,802
  6. Step 6: Final answer
    x = 68,005.98

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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.