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Finding the Fourth Proportional to 84,021.30, 115,938.90 and 56,856.78

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Solution

The fourth proportional to 84,021.30, 115,938.90 and 56,856.78 is: 78,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,021.30 : 115,938.90 = 56,856.78 : x
  2. Step 2: Convert to fraction form
    84,021.30/115,938.90 = 56,856.78/x
  3. Step 3: Cross multiply
    84,021.30x = 115,938.90 × 56,856.78
  4. Step 4: Simplify right side
    84,021.30x = 6,591,912,530.74
  5. Step 5: Solve for x
    x = 6,591,912,530.74/84,021.30
  6. Step 6: Final answer
    x = 78,455.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.