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Finding the Fourth Proportional to 82,961.52, 114,484.44 and 47,155.44

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Solution

The fourth proportional to 82,961.52, 114,484.44 and 47,155.44 is: 65,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,961.52 : 114,484.44 = 47,155.44 : x
  2. Step 2: Convert to fraction form
    82,961.52/114,484.44 = 47,155.44/x
  3. Step 3: Cross multiply
    82,961.52x = 114,484.44 × 47,155.44
  4. Step 4: Simplify right side
    82,961.52x = 5,398,564,141.35
  5. Step 5: Solve for x
    x = 5,398,564,141.35/82,961.52
  6. Step 6: Final answer
    x = 65,073.11

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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.