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Finding the Fourth Proportional to 82,658.94, 124,000.10 and 26,485.92

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Solution

The fourth proportional to 82,658.94, 124,000.10 and 26,485.92 is: 39,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,658.94 : 124,000.10 = 26,485.92 : x
  2. Step 2: Convert to fraction form
    82,658.94/124,000.10 = 26,485.92/x
  3. Step 3: Cross multiply
    82,658.94x = 124,000.10 × 26,485.92
  4. Step 4: Simplify right side
    82,658.94x = 3,284,256,596.16
  5. Step 5: Solve for x
    x = 3,284,256,596.16/82,658.94
  6. Step 6: Final answer
    x = 39,732.62

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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.