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Finding the Fourth Proportional to 29,360, 44,031.36 and 8,578.56

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Solution

The fourth proportional to 29,360, 44,031.36 and 8,578.56 is: 12,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,360 : 44,031.36 = 8,578.56 : x
  2. Step 2: Convert to fraction form
    29,360/44,031.36 = 8,578.56/x
  3. Step 3: Cross multiply
    29,360x = 44,031.36 × 8,578.56
  4. Step 4: Simplify right side
    29,360x = 377,725,663.64
  5. Step 5: Solve for x
    x = 377,725,663.64/29,360
  6. Step 6: Final answer
    x = 12,865.32

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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.