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Finding the Fourth Proportional to 36,589.82, 54,878.36 and 10,288.32

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Solution

The fourth proportional to 36,589.82, 54,878.36 and 10,288.32 is: 15,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,589.82 : 54,878.36 = 10,288.32 : x
  2. Step 2: Convert to fraction form
    36,589.82/54,878.36 = 10,288.32/x
  3. Step 3: Cross multiply
    36,589.82x = 54,878.36 × 10,288.32
  4. Step 4: Simplify right side
    36,589.82x = 564,606,128.76
  5. Step 5: Solve for x
    x = 564,606,128.76/36,589.82
  6. Step 6: Final answer
    x = 15,430.69

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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.