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Finding the Fourth Proportional to 91,829, 137,766.62 and 26,165

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Solution

The fourth proportional to 91,829, 137,766.62 and 26,165 is: 39,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829 : 137,766.62 = 26,165 : x
  2. Step 2: Convert to fraction form
    91,829/137,766.62 = 26,165/x
  3. Step 3: Cross multiply
    91,829x = 137,766.62 × 26,165
  4. Step 4: Simplify right side
    91,829x = 3,604,663,612.30
  5. Step 5: Solve for x
    x = 3,604,663,612.30/91,829
  6. Step 6: Final answer
    x = 39,254.09

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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.