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Finding the Fourth Proportional to 37,376, 56,064 and 15,201.44

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Solution

The fourth proportional to 37,376, 56,064 and 15,201.44 is: 22,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,376 : 56,064 = 15,201.44 : x
  2. Step 2: Convert to fraction form
    37,376/56,064 = 15,201.44/x
  3. Step 3: Cross multiply
    37,376x = 56,064 × 15,201.44
  4. Step 4: Simplify right side
    37,376x = 852,253,532.16
  5. Step 5: Solve for x
    x = 852,253,532.16/37,376
  6. Step 6: Final answer
    x = 22,802.16

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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.