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Finding the Fourth Proportional to 82,845.52, 114,337.11 and 47,047.03

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Solution

The fourth proportional to 82,845.52, 114,337.11 and 47,047.03 is: 64,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,845.52 : 114,337.11 = 47,047.03 : x
  2. Step 2: Convert to fraction form
    82,845.52/114,337.11 = 47,047.03/x
  3. Step 3: Cross multiply
    82,845.52x = 114,337.11 × 47,047.03
  4. Step 4: Simplify right side
    82,845.52x = 5,379,221,444.28
  5. Step 5: Solve for x
    x = 5,379,221,444.28/82,845.52
  6. Step 6: Final answer
    x = 64,930.75

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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.