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Finding the Fourth Proportional to 82,992.85, 114,530.13 and 47,182.86

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Solution

The fourth proportional to 82,992.85, 114,530.13 and 47,182.86 is: 65,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992.85 : 114,530.13 = 47,182.86 : x
  2. Step 2: Convert to fraction form
    82,992.85/114,530.13 = 47,182.86/x
  3. Step 3: Cross multiply
    82,992.85x = 114,530.13 × 47,182.86
  4. Step 4: Simplify right side
    82,992.85x = 5,403,859,089.57
  5. Step 5: Solve for x
    x = 5,403,859,089.57/82,992.85
  6. Step 6: Final answer
    x = 65,112.35

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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.