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Finding the Fourth Proportional to 82,999.50, 114,539.68 and 45,274.56

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Solution

The fourth proportional to 82,999.50, 114,539.68 and 45,274.56 is: 62,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,999.50 : 114,539.68 = 45,274.56 : x
  2. Step 2: Convert to fraction form
    82,999.50/114,539.68 = 45,274.56/x
  3. Step 3: Cross multiply
    82,999.50x = 114,539.68 × 45,274.56
  4. Step 4: Simplify right side
    82,999.50x = 5,185,733,388.17
  5. Step 5: Solve for x
    x = 5,185,733,388.17/82,999.50
  6. Step 6: Final answer
    x = 62,479.09

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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.