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Finding the Fourth Proportional to 56,982.80, 85,474.20 and 56,205.20

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Solution

The fourth proportional to 56,982.80, 85,474.20 and 56,205.20 is: 84,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,982.80 : 85,474.20 = 56,205.20 : x
  2. Step 2: Convert to fraction form
    56,982.80/85,474.20 = 56,205.20/x
  3. Step 3: Cross multiply
    56,982.80x = 85,474.20 × 56,205.20
  4. Step 4: Simplify right side
    56,982.80x = 4,804,094,505.84
  5. Step 5: Solve for x
    x = 4,804,094,505.84/56,982.80
  6. Step 6: Final answer
    x = 84,307.80

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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.