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Finding the Fourth Proportional to 37,708, 56,537.04 and 17,989.60

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Solution

The fourth proportional to 37,708, 56,537.04 and 17,989.60 is: 26,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,708 : 56,537.04 = 17,989.60 : x
  2. Step 2: Convert to fraction form
    37,708/56,537.04 = 17,989.60/x
  3. Step 3: Cross multiply
    37,708x = 56,537.04 × 17,989.60
  4. Step 4: Simplify right side
    37,708x = 1,017,078,734.78
  5. Step 5: Solve for x
    x = 1,017,078,734.78/37,708
  6. Step 6: Final answer
    x = 26,972.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.