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Finding the Fourth Proportional to 29,414.51, 44,085.62 and 13,598.13

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Solution

The fourth proportional to 29,414.51, 44,085.62 and 13,598.13 is: 20,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414.51 : 44,085.62 = 13,598.13 : x
  2. Step 2: Convert to fraction form
    29,414.51/44,085.62 = 13,598.13/x
  3. Step 3: Cross multiply
    29,414.51x = 44,085.62 × 13,598.13
  4. Step 4: Simplify right side
    29,414.51x = 599,481,923.90
  5. Step 5: Solve for x
    x = 599,481,923.90/29,414.51
  6. Step 6: Final answer
    x = 20,380.49

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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.