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Finding the Fourth Proportional to 37,733.48, 52,078.65 and 21,827.60

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Solution

The fourth proportional to 37,733.48, 52,078.65 and 21,827.60 is: 30,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,733.48 : 52,078.65 = 21,827.60 : x
  2. Step 2: Convert to fraction form
    37,733.48/52,078.65 = 21,827.60/x
  3. Step 3: Cross multiply
    37,733.48x = 52,078.65 × 21,827.60
  4. Step 4: Simplify right side
    37,733.48x = 1,136,751,940.74
  5. Step 5: Solve for x
    x = 1,136,751,940.74/37,733.48
  6. Step 6: Final answer
    x = 30,125.82

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