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Finding the Fourth Proportional to 82,590.42, 123,885.64 and 35,843.30

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Solution

The fourth proportional to 82,590.42, 123,885.64 and 35,843.30 is: 53,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,590.42 : 123,885.64 = 35,843.30 : x
  2. Step 2: Convert to fraction form
    82,590.42/123,885.64 = 35,843.30/x
  3. Step 3: Cross multiply
    82,590.42x = 123,885.64 × 35,843.30
  4. Step 4: Simplify right side
    82,590.42x = 4,440,470,160.21
  5. Step 5: Solve for x
    x = 4,440,470,160.21/82,590.42
  6. Step 6: Final answer
    x = 53,764.95

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1.5x scale

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.