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Finding the Fourth Proportional to 82,646.52, 114,052.95 and 44,920.86

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Solution

The fourth proportional to 82,646.52, 114,052.95 and 44,920.86 is: 61,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646.52 : 114,052.95 = 44,920.86 : x
  2. Step 2: Convert to fraction form
    82,646.52/114,052.95 = 44,920.86/x
  3. Step 3: Cross multiply
    82,646.52x = 114,052.95 × 44,920.86
  4. Step 4: Simplify right side
    82,646.52x = 5,123,356,599.54
  5. Step 5: Solve for x
    x = 5,123,356,599.54/82,646.52
  6. Step 6: Final answer
    x = 61,991.20

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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.