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Finding the Fourth Proportional to 27,524.66, 37,978.46 and 16,762.32

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Solution

The fourth proportional to 27,524.66, 37,978.46 and 16,762.32 is: 23,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.66 : 37,978.46 = 16,762.32 : x
  2. Step 2: Convert to fraction form
    27,524.66/37,978.46 = 16,762.32/x
  3. Step 3: Cross multiply
    27,524.66x = 37,978.46 × 16,762.32
  4. Step 4: Simplify right side
    27,524.66x = 636,607,099.63
  5. Step 5: Solve for x
    x = 636,607,099.63/27,524.66
  6. Step 6: Final answer
    x = 23,128.61

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1.5x scale

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.