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Finding the Fourth Proportional to 50,466, 75,698.73 and 15,405.15

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Solution

The fourth proportional to 50,466, 75,698.73 and 15,405.15 is: 23,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,466 : 75,698.73 = 15,405.15 : x
  2. Step 2: Convert to fraction form
    50,466/75,698.73 = 15,405.15/x
  3. Step 3: Cross multiply
    50,466x = 75,698.73 × 15,405.15
  4. Step 4: Simplify right side
    50,466x = 1,166,150,290.46
  5. Step 5: Solve for x
    x = 1,166,150,290.46/50,466
  6. Step 6: Final answer
    x = 23,107.64

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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.