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Finding the Fourth Proportional to 24,273.90, 36,409.94 and 10,042

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Solution

The fourth proportional to 24,273.90, 36,409.94 and 10,042 is: 15,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273.90 : 36,409.94 = 10,042 : x
  2. Step 2: Convert to fraction form
    24,273.90/36,409.94 = 10,042/x
  3. Step 3: Cross multiply
    24,273.90x = 36,409.94 × 10,042
  4. Step 4: Simplify right side
    24,273.90x = 365,628,617.48
  5. Step 5: Solve for x
    x = 365,628,617.48/24,273.90
  6. Step 6: Final answer
    x = 15,062.62

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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.