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Finding the Fourth Proportional to 37,670, 51,984.56 and 20,674.34

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Solution

The fourth proportional to 37,670, 51,984.56 and 20,674.34 is: 28,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670 : 51,984.56 = 20,674.34 : x
  2. Step 2: Convert to fraction form
    37,670/51,984.56 = 20,674.34/x
  3. Step 3: Cross multiply
    37,670x = 51,984.56 × 20,674.34
  4. Step 4: Simplify right side
    37,670x = 1,074,746,468.19
  5. Step 5: Solve for x
    x = 1,074,746,468.19/37,670
  6. Step 6: Final answer
    x = 28,530.57

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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.