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Finding the Fourth Proportional to 82,522.80, 113,622.48 and 72,822.24

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Solution

The fourth proportional to 82,522.80, 113,622.48 and 72,822.24 is: 100,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,522.80 : 113,622.48 = 72,822.24 : x
  2. Step 2: Convert to fraction form
    82,522.80/113,622.48 = 72,822.24/x
  3. Step 3: Cross multiply
    82,522.80x = 113,622.48 × 72,822.24
  4. Step 4: Simplify right side
    82,522.80x = 8,274,243,507.96
  5. Step 5: Solve for x
    x = 8,274,243,507.96/82,522.80
  6. Step 6: Final answer
    x = 100,266.15

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1.5x scale

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.