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Finding the Fourth Proportional to 29,710.64, 44,573.27 and 8,650.86

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Solution

The fourth proportional to 29,710.64, 44,573.27 and 8,650.86 is: 12,978.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.64 : 44,573.27 = 8,650.86 : x
  2. Step 2: Convert to fraction form
    29,710.64/44,573.27 = 8,650.86/x
  3. Step 3: Cross multiply
    29,710.64x = 44,573.27 × 8,650.86
  4. Step 4: Simplify right side
    29,710.64x = 385,597,075.26
  5. Step 5: Solve for x
    x = 385,597,075.26/29,710.64
  6. Step 6: Final answer
    x = 12,978.42

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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.