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Finding the Fourth Proportional to 37,720.97, 52,033.28 and 23,549.21

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Solution

The fourth proportional to 37,720.97, 52,033.28 and 23,549.21 is: 32,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,720.97 : 52,033.28 = 23,549.21 : x
  2. Step 2: Convert to fraction form
    37,720.97/52,033.28 = 23,549.21/x
  3. Step 3: Cross multiply
    37,720.97x = 52,033.28 × 23,549.21
  4. Step 4: Simplify right side
    37,720.97x = 1,225,342,637.71
  5. Step 5: Solve for x
    x = 1,225,342,637.71/37,720.97
  6. Step 6: Final answer
    x = 32,484.39

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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.