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Finding the Fourth Proportional to 37,809.10, 52,110.63 and 27,716.08

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Solution

The fourth proportional to 37,809.10, 52,110.63 and 27,716.08 is: 38,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,809.10 : 52,110.63 = 27,716.08 : x
  2. Step 2: Convert to fraction form
    37,809.10/52,110.63 = 27,716.08/x
  3. Step 3: Cross multiply
    37,809.10x = 52,110.63 × 27,716.08
  4. Step 4: Simplify right side
    37,809.10x = 1,444,302,389.93
  5. Step 5: Solve for x
    x = 1,444,302,389.93/37,809.10
  6. Step 6: Final answer
    x = 38,199.86

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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.