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Finding the Fourth Proportional to 37,842.23, 52,222.37 and 20,846.00

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Solution

The fourth proportional to 37,842.23, 52,222.37 and 20,846.00 is: 28,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.23 : 52,222.37 = 20,846.00 : x
  2. Step 2: Convert to fraction form
    37,842.23/52,222.37 = 20,846.00/x
  3. Step 3: Cross multiply
    37,842.23x = 52,222.37 × 20,846.00
  4. Step 4: Simplify right side
    37,842.23x = 1,088,627,551.35
  5. Step 5: Solve for x
    x = 1,088,627,551.35/37,842.23
  6. Step 6: Final answer
    x = 28,767.53

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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.