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Finding the Fourth Proportional to 82,638.36, 114,041.84 and 44,912.64

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Solution

The fourth proportional to 82,638.36, 114,041.84 and 44,912.64 is: 61,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638.36 : 114,041.84 = 44,912.64 : x
  2. Step 2: Convert to fraction form
    82,638.36/114,041.84 = 44,912.64/x
  3. Step 3: Cross multiply
    82,638.36x = 114,041.84 × 44,912.64
  4. Step 4: Simplify right side
    82,638.36x = 5,121,920,104.86
  5. Step 5: Solve for x
    x = 5,121,920,104.86/82,638.36
  6. Step 6: Final answer
    x = 61,979.93

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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.