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Finding the Fourth Proportional to 50,466, 75,689.28 and 17,185.80

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Solution

The fourth proportional to 50,466, 75,689.28 and 17,185.80 is: 25,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,466 : 75,689.28 = 17,185.80 : x
  2. Step 2: Convert to fraction form
    50,466/75,689.28 = 17,185.80/x
  3. Step 3: Cross multiply
    50,466x = 75,689.28 × 17,185.80
  4. Step 4: Simplify right side
    50,466x = 1,300,780,828.22
  5. Step 5: Solve for x
    x = 1,300,780,828.22/50,466
  6. Step 6: Final answer
    x = 25,775.39

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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.