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Finding the Fourth Proportional to 37,009.86, 51,074.01 and 20,242.50

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Solution

The fourth proportional to 37,009.86, 51,074.01 and 20,242.50 is: 27,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009.86 : 51,074.01 = 20,242.50 : x
  2. Step 2: Convert to fraction form
    37,009.86/51,074.01 = 20,242.50/x
  3. Step 3: Cross multiply
    37,009.86x = 51,074.01 × 20,242.50
  4. Step 4: Simplify right side
    37,009.86x = 1,033,865,647.43
  5. Step 5: Solve for x
    x = 1,033,865,647.43/37,009.86
  6. Step 6: Final answer
    x = 27,934.87

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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.