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Finding the Fourth Proportional to 37,840.50, 56,768.04 and 17,064

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Solution

The fourth proportional to 37,840.50, 56,768.04 and 17,064 is: 25,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840.50 : 56,768.04 = 17,064 : x
  2. Step 2: Convert to fraction form
    37,840.50/56,768.04 = 17,064/x
  3. Step 3: Cross multiply
    37,840.50x = 56,768.04 × 17,064
  4. Step 4: Simplify right side
    37,840.50x = 968,689,834.56
  5. Step 5: Solve for x
    x = 968,689,834.56/37,840.50
  6. Step 6: Final answer
    x = 25,599.29

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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.