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Finding the Fourth Proportional to 31,984.51, 44,138.52 and 17,837.35

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Solution

The fourth proportional to 31,984.51, 44,138.52 and 17,837.35 is: 24,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984.51 : 44,138.52 = 17,837.35 : x
  2. Step 2: Convert to fraction form
    31,984.51/44,138.52 = 17,837.35/x
  3. Step 3: Cross multiply
    31,984.51x = 44,138.52 × 17,837.35
  4. Step 4: Simplify right side
    31,984.51x = 787,314,119.38
  5. Step 5: Solve for x
    x = 787,314,119.38/31,984.51
  6. Step 6: Final answer
    x = 24,615.48

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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.