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Finding the Fourth Proportional to 37,820.36, 52,191.36 and 23,681

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Solution

The fourth proportional to 37,820.36, 52,191.36 and 23,681 is: 32,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.36 : 52,191.36 = 23,681 : x
  2. Step 2: Convert to fraction form
    37,820.36/52,191.36 = 23,681/x
  3. Step 3: Cross multiply
    37,820.36x = 52,191.36 × 23,681
  4. Step 4: Simplify right side
    37,820.36x = 1,235,943,596.16
  5. Step 5: Solve for x
    x = 1,235,943,596.16/37,820.36
  6. Step 6: Final answer
    x = 32,679.32

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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.