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Finding the Fourth Proportional to 37,880.56, 56,782.56 and 15,663.28

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Solution

The fourth proportional to 37,880.56, 56,782.56 and 15,663.28 is: 23,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880.56 : 56,782.56 = 15,663.28 : x
  2. Step 2: Convert to fraction form
    37,880.56/56,782.56 = 15,663.28/x
  3. Step 3: Cross multiply
    37,880.56x = 56,782.56 × 15,663.28
  4. Step 4: Simplify right side
    37,880.56x = 889,401,136.40
  5. Step 5: Solve for x
    x = 889,401,136.40/37,880.56
  6. Step 6: Final answer
    x = 23,479.09

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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.