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Finding the Fourth Proportional to 82,852.08, 114,336 and 45,126.48

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Solution

The fourth proportional to 82,852.08, 114,336 and 45,126.48 is: 62,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,852.08 : 114,336 = 45,126.48 : x
  2. Step 2: Convert to fraction form
    82,852.08/114,336 = 45,126.48/x
  3. Step 3: Cross multiply
    82,852.08x = 114,336 × 45,126.48
  4. Step 4: Simplify right side
    82,852.08x = 5,159,581,217.28
  5. Step 5: Solve for x
    x = 5,159,581,217.28/82,852.08
  6. Step 6: Final answer
    x = 62,274.61

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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.