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Finding the Fourth Proportional to 37,468.42, 51,706.38 and 20,701.42

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Solution

The fourth proportional to 37,468.42, 51,706.38 and 20,701.42 is: 28,567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,468.42 : 51,706.38 = 20,701.42 : x
  2. Step 2: Convert to fraction form
    37,468.42/51,706.38 = 20,701.42/x
  3. Step 3: Cross multiply
    37,468.42x = 51,706.38 × 20,701.42
  4. Step 4: Simplify right side
    37,468.42x = 1,070,395,489.06
  5. Step 5: Solve for x
    x = 1,070,395,489.06/37,468.42
  6. Step 6: Final answer
    x = 28,567.94

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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.