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Finding the Fourth Proportional to 29,888.64, 44,830.26 and 11,159.80

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Solution

The fourth proportional to 29,888.64, 44,830.26 and 11,159.80 is: 16,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,888.64 : 44,830.26 = 11,159.80 : x
  2. Step 2: Convert to fraction form
    29,888.64/44,830.26 = 11,159.80/x
  3. Step 3: Cross multiply
    29,888.64x = 44,830.26 × 11,159.80
  4. Step 4: Simplify right side
    29,888.64x = 500,296,735.55
  5. Step 5: Solve for x
    x = 500,296,735.55/29,888.64
  6. Step 6: Final answer
    x = 16,738.69

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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.