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Finding the Fourth Proportional to 36,321.92, 54,486 and 10,026.66

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Solution

The fourth proportional to 36,321.92, 54,486 and 10,026.66 is: 15,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,321.92 : 54,486 = 10,026.66 : x
  2. Step 2: Convert to fraction form
    36,321.92/54,486 = 10,026.66/x
  3. Step 3: Cross multiply
    36,321.92x = 54,486 × 10,026.66
  4. Step 4: Simplify right side
    36,321.92x = 546,312,596.76
  5. Step 5: Solve for x
    x = 546,312,596.76/36,321.92
  6. Step 6: Final answer
    x = 15,040.85

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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.