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Finding the Fourth Proportional to 29,678.88, 44,530.02 and 13,027.32

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Solution

The fourth proportional to 29,678.88, 44,530.02 and 13,027.32 is: 19,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.88 : 44,530.02 = 13,027.32 : x
  2. Step 2: Convert to fraction form
    29,678.88/44,530.02 = 13,027.32/x
  3. Step 3: Cross multiply
    29,678.88x = 44,530.02 × 13,027.32
  4. Step 4: Simplify right side
    29,678.88x = 580,106,820.15
  5. Step 5: Solve for x
    x = 580,106,820.15/29,678.88
  6. Step 6: Final answer
    x = 19,546.12

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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.