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Finding the Fourth Proportional to 36,547.50, 54,821.52 and 8,845.50

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Solution

The fourth proportional to 36,547.50, 54,821.52 and 8,845.50 is: 13,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547.50 : 54,821.52 = 8,845.50 : x
  2. Step 2: Convert to fraction form
    36,547.50/54,821.52 = 8,845.50/x
  3. Step 3: Cross multiply
    36,547.50x = 54,821.52 × 8,845.50
  4. Step 4: Simplify right side
    36,547.50x = 484,923,755.16
  5. Step 5: Solve for x
    x = 484,923,755.16/36,547.50
  6. Step 6: Final answer
    x = 13,268.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.