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Finding the Fourth Proportional to 82,682.82, 123,925.80 and 57,586.98

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Solution

The fourth proportional to 82,682.82, 123,925.80 and 57,586.98 is: 86,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,682.82 : 123,925.80 = 57,586.98 : x
  2. Step 2: Convert to fraction form
    82,682.82/123,925.80 = 57,586.98/x
  3. Step 3: Cross multiply
    82,682.82x = 123,925.80 × 57,586.98
  4. Step 4: Simplify right side
    82,682.82x = 7,136,512,566.08
  5. Step 5: Solve for x
    x = 7,136,512,566.08/82,682.82
  6. Step 6: Final answer
    x = 86,311.92

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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.