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Finding the Fourth Proportional to 64,822.80, 97,234.20 and 54,454.80

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Solution

The fourth proportional to 64,822.80, 97,234.20 and 54,454.80 is: 81,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822.80 : 97,234.20 = 54,454.80 : x
  2. Step 2: Convert to fraction form
    64,822.80/97,234.20 = 54,454.80/x
  3. Step 3: Cross multiply
    64,822.80x = 97,234.20 × 54,454.80
  4. Step 4: Simplify right side
    64,822.80x = 5,294,868,914.16
  5. Step 5: Solve for x
    x = 5,294,868,914.16/64,822.80
  6. Step 6: Final answer
    x = 81,682.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.