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Finding the Fourth Proportional to 37,670.40, 51,985.67 and 20,674.38

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Solution

The fourth proportional to 37,670.40, 51,985.67 and 20,674.38 is: 28,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670.40 : 51,985.67 = 20,674.38 : x
  2. Step 2: Convert to fraction form
    37,670.40/51,985.67 = 20,674.38/x
  3. Step 3: Cross multiply
    37,670.40x = 51,985.67 × 20,674.38
  4. Step 4: Simplify right side
    37,670.40x = 1,074,771,392.76
  5. Step 5: Solve for x
    x = 1,074,771,392.76/37,670.40
  6. Step 6: Final answer
    x = 28,530.93

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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.