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Finding the Fourth Proportional to 50,197.90, 75,296.42 and 12,758.08

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Solution

The fourth proportional to 50,197.90, 75,296.42 and 12,758.08 is: 19,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,197.90 : 75,296.42 = 12,758.08 : x
  2. Step 2: Convert to fraction form
    50,197.90/75,296.42 = 12,758.08/x
  3. Step 3: Cross multiply
    50,197.90x = 75,296.42 × 12,758.08
  4. Step 4: Simplify right side
    50,197.90x = 960,637,750.07
  5. Step 5: Solve for x
    x = 960,637,750.07/50,197.90
  6. Step 6: Final answer
    x = 19,137.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.