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Finding the Fourth Proportional to 39,674.55, 59,511.56 and 10,092

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Solution

The fourth proportional to 39,674.55, 59,511.56 and 10,092 is: 15,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,674.55 : 59,511.56 = 10,092 : x
  2. Step 2: Convert to fraction form
    39,674.55/59,511.56 = 10,092/x
  3. Step 3: Cross multiply
    39,674.55x = 59,511.56 × 10,092
  4. Step 4: Simplify right side
    39,674.55x = 600,590,613.06
  5. Step 5: Solve for x
    x = 600,590,613.06/39,674.55
  6. Step 6: Final answer
    x = 15,137.93

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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.