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Finding the Fourth Proportional to 51,808.62, 77,701.50 and 18,531

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Solution

The fourth proportional to 51,808.62, 77,701.50 and 18,531 is: 27,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808.62 : 77,701.50 = 18,531 : x
  2. Step 2: Convert to fraction form
    51,808.62/77,701.50 = 18,531/x
  3. Step 3: Cross multiply
    51,808.62x = 77,701.50 × 18,531
  4. Step 4: Simplify right side
    51,808.62x = 1,439,886,496.50
  5. Step 5: Solve for x
    x = 1,439,886,496.50/51,808.62
  6. Step 6: Final answer
    x = 27,792.41

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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.