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Finding the Fourth Proportional to 29,137.50, 43,713.93 and 10,419.39

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Solution

The fourth proportional to 29,137.50, 43,713.93 and 10,419.39 is: 15,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.50 : 43,713.93 = 10,419.39 : x
  2. Step 2: Convert to fraction form
    29,137.50/43,713.93 = 10,419.39/x
  3. Step 3: Cross multiply
    29,137.50x = 43,713.93 × 10,419.39
  4. Step 4: Simplify right side
    29,137.50x = 455,472,485.10
  5. Step 5: Solve for x
    x = 455,472,485.10/29,137.50
  6. Step 6: Final answer
    x = 15,631.83

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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.