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Finding the Fourth Proportional to 50,595.19, 75,896.46 and 19,430.44

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Solution

The fourth proportional to 50,595.19, 75,896.46 and 19,430.44 is: 29,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,595.19 : 75,896.46 = 19,430.44 : x
  2. Step 2: Convert to fraction form
    50,595.19/75,896.46 = 19,430.44/x
  3. Step 3: Cross multiply
    50,595.19x = 75,896.46 × 19,430.44
  4. Step 4: Simplify right side
    50,595.19x = 1,474,701,422.50
  5. Step 5: Solve for x
    x = 1,474,701,422.50/50,595.19
  6. Step 6: Final answer
    x = 29,147.07

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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.