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Finding the Fourth Proportional to 36,037, 54,055.74 and 11,413

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Solution

The fourth proportional to 36,037, 54,055.74 and 11,413 is: 17,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,037 : 54,055.74 = 11,413 : x
  2. Step 2: Convert to fraction form
    36,037/54,055.74 = 11,413/x
  3. Step 3: Cross multiply
    36,037x = 54,055.74 × 11,413
  4. Step 4: Simplify right side
    36,037x = 616,938,160.62
  5. Step 5: Solve for x
    x = 616,938,160.62/36,037
  6. Step 6: Final answer
    x = 17,119.58

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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.