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Finding the Fourth Proportional to 82,617.84, 114,012.54 and 44,892

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Solution

The fourth proportional to 82,617.84, 114,012.54 and 44,892 is: 61,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617.84 : 114,012.54 = 44,892 : x
  2. Step 2: Convert to fraction form
    82,617.84/114,012.54 = 44,892/x
  3. Step 3: Cross multiply
    82,617.84x = 114,012.54 × 44,892
  4. Step 4: Simplify right side
    82,617.84x = 5,118,250,945.68
  5. Step 5: Solve for x
    x = 5,118,250,945.68/82,617.84
  6. Step 6: Final answer
    x = 61,950.92

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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.