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Finding the Fourth Proportional to 50,558.40, 75,834.54 and 15,498

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Solution

The fourth proportional to 50,558.40, 75,834.54 and 15,498 is: 23,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,558.40 : 75,834.54 = 15,498 : x
  2. Step 2: Convert to fraction form
    50,558.40/75,834.54 = 15,498/x
  3. Step 3: Cross multiply
    50,558.40x = 75,834.54 × 15,498
  4. Step 4: Simplify right side
    50,558.40x = 1,175,283,700.92
  5. Step 5: Solve for x
    x = 1,175,283,700.92/50,558.40
  6. Step 6: Final answer
    x = 23,246.06

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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.