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Finding the Fourth Proportional to 27,243.16, 37,594.98 and 16,063

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Solution

The fourth proportional to 27,243.16, 37,594.98 and 16,063 is: 22,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243.16 : 37,594.98 = 16,063 : x
  2. Step 2: Convert to fraction form
    27,243.16/37,594.98 = 16,063/x
  3. Step 3: Cross multiply
    27,243.16x = 37,594.98 × 16,063
  4. Step 4: Simplify right side
    27,243.16x = 603,888,163.74
  5. Step 5: Solve for x
    x = 603,888,163.74/27,243.16
  6. Step 6: Final answer
    x = 22,166.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.