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Finding the Fourth Proportional to 82,690.92, 114,073.38 and 49,133.16

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Solution

The fourth proportional to 82,690.92, 114,073.38 and 49,133.16 is: 67,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,690.92 : 114,073.38 = 49,133.16 : x
  2. Step 2: Convert to fraction form
    82,690.92/114,073.38 = 49,133.16/x
  3. Step 3: Cross multiply
    82,690.92x = 114,073.38 × 49,133.16
  4. Step 4: Simplify right side
    82,690.92x = 5,604,785,631.28
  5. Step 5: Solve for x
    x = 5,604,785,631.28/82,690.92
  6. Step 6: Final answer
    x = 67,779.94

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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.