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Finding the Fourth Proportional to 50,594.60, 75,891.90 and 19,430.60

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Solution

The fourth proportional to 50,594.60, 75,891.90 and 19,430.60 is: 29,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594.60 : 75,891.90 = 19,430.60 : x
  2. Step 2: Convert to fraction form
    50,594.60/75,891.90 = 19,430.60/x
  3. Step 3: Cross multiply
    50,594.60x = 75,891.90 × 19,430.60
  4. Step 4: Simplify right side
    50,594.60x = 1,474,625,152.14
  5. Step 5: Solve for x
    x = 1,474,625,152.14/50,594.60
  6. Step 6: Final answer
    x = 29,145.90

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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.