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Finding the Fourth Proportional to 29,840.30, 44,776.14 and 13,211.84

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Solution

The fourth proportional to 29,840.30, 44,776.14 and 13,211.84 is: 19,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.30 : 44,776.14 = 13,211.84 : x
  2. Step 2: Convert to fraction form
    29,840.30/44,776.14 = 13,211.84/x
  3. Step 3: Cross multiply
    29,840.30x = 44,776.14 × 13,211.84
  4. Step 4: Simplify right side
    29,840.30x = 591,575,197.50
  5. Step 5: Solve for x
    x = 591,575,197.50/29,840.30
  6. Step 6: Final answer
    x = 19,824.71

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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.