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Finding the Fourth Proportional to 37,767.36, 52,118.28 and 21,000

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Solution

The fourth proportional to 37,767.36, 52,118.28 and 21,000 is: 28,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,767.36 : 52,118.28 = 21,000 : x
  2. Step 2: Convert to fraction form
    37,767.36/52,118.28 = 21,000/x
  3. Step 3: Cross multiply
    37,767.36x = 52,118.28 × 21,000
  4. Step 4: Simplify right side
    37,767.36x = 1,094,483,880
  5. Step 5: Solve for x
    x = 1,094,483,880/37,767.36
  6. Step 6: Final answer
    x = 28,979.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.