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Finding the Fourth Proportional to 37,810.10, 52,112.01 and 27,717.08

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Solution

The fourth proportional to 37,810.10, 52,112.01 and 27,717.08 is: 38,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,810.10 : 52,112.01 = 27,717.08 : x
  2. Step 2: Convert to fraction form
    37,810.10/52,112.01 = 27,717.08/x
  3. Step 3: Cross multiply
    37,810.10x = 52,112.01 × 27,717.08
  4. Step 4: Simplify right side
    37,810.10x = 1,444,392,750.13
  5. Step 5: Solve for x
    x = 1,444,392,750.13/37,810.10
  6. Step 6: Final answer
    x = 38,201.24

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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.