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Finding the Fourth Proportional to 35,214.34, 52,821.74 and 8,919.16

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Solution

The fourth proportional to 35,214.34, 52,821.74 and 8,919.16 is: 13,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214.34 : 52,821.74 = 8,919.16 : x
  2. Step 2: Convert to fraction form
    35,214.34/52,821.74 = 8,919.16/x
  3. Step 3: Cross multiply
    35,214.34x = 52,821.74 × 8,919.16
  4. Step 4: Simplify right side
    35,214.34x = 471,125,550.54
  5. Step 5: Solve for x
    x = 471,125,550.54/35,214.34
  6. Step 6: Final answer
    x = 13,378.80

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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.