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Finding the Fourth Proportional to 84,023.96, 115,951.68 and 45,783.96

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Solution

The fourth proportional to 84,023.96, 115,951.68 and 45,783.96 is: 63,181.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,023.96 : 115,951.68 = 45,783.96 : x
  2. Step 2: Convert to fraction form
    84,023.96/115,951.68 = 45,783.96/x
  3. Step 3: Cross multiply
    84,023.96x = 115,951.68 × 45,783.96
  4. Step 4: Simplify right side
    84,023.96x = 5,308,726,499.29
  5. Step 5: Solve for x
    x = 5,308,726,499.29/84,023.96
  6. Step 6: Final answer
    x = 63,181.11

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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.