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Finding the Fourth Proportional to 29,907.90, 41,272.34 and 16,480.40

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Solution

The fourth proportional to 29,907.90, 41,272.34 and 16,480.40 is: 22,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907.90 : 41,272.34 = 16,480.40 : x
  2. Step 2: Convert to fraction form
    29,907.90/41,272.34 = 16,480.40/x
  3. Step 3: Cross multiply
    29,907.90x = 41,272.34 × 16,480.40
  4. Step 4: Simplify right side
    29,907.90x = 680,184,383.37
  5. Step 5: Solve for x
    x = 680,184,383.37/29,907.90
  6. Step 6: Final answer
    x = 22,742.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.