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Finding the Fourth Proportional to 27,375, 37,777.50 and 14,799.75

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Solution

The fourth proportional to 27,375, 37,777.50 and 14,799.75 is: 20,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,375 : 37,777.50 = 14,799.75 : x
  2. Step 2: Convert to fraction form
    27,375/37,777.50 = 14,799.75/x
  3. Step 3: Cross multiply
    27,375x = 37,777.50 × 14,799.75
  4. Step 4: Simplify right side
    27,375x = 559,097,555.63
  5. Step 5: Solve for x
    x = 559,097,555.63/27,375
  6. Step 6: Final answer
    x = 20,423.66

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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.