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Finding the Fourth Proportional to 50,547.46, 75,830.91 and 19,380.28

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Solution

The fourth proportional to 50,547.46, 75,830.91 and 19,380.28 is: 29,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.46 : 75,830.91 = 19,380.28 : x
  2. Step 2: Convert to fraction form
    50,547.46/75,830.91 = 19,380.28/x
  3. Step 3: Cross multiply
    50,547.46x = 75,830.91 × 19,380.28
  4. Step 4: Simplify right side
    50,547.46x = 1,469,624,399.58
  5. Step 5: Solve for x
    x = 1,469,624,399.58/50,547.46
  6. Step 6: Final answer
    x = 29,074.15

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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.