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Finding the Fourth Proportional to 29,765.64, 44,648.46 and 14,135.88

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Solution

The fourth proportional to 29,765.64, 44,648.46 and 14,135.88 is: 21,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.64 : 44,648.46 = 14,135.88 : x
  2. Step 2: Convert to fraction form
    29,765.64/44,648.46 = 14,135.88/x
  3. Step 3: Cross multiply
    29,765.64x = 44,648.46 × 14,135.88
  4. Step 4: Simplify right side
    29,765.64x = 631,145,272.74
  5. Step 5: Solve for x
    x = 631,145,272.74/29,765.64
  6. Step 6: Final answer
    x = 21,203.82

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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.