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Finding the Fourth Proportional to 33,937.16, 50,899.98 and 8,977.48

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Solution

The fourth proportional to 33,937.16, 50,899.98 and 8,977.48 is: 13,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,937.16 : 50,899.98 = 8,977.48 : x
  2. Step 2: Convert to fraction form
    33,937.16/50,899.98 = 8,977.48/x
  3. Step 3: Cross multiply
    33,937.16x = 50,899.98 × 8,977.48
  4. Step 4: Simplify right side
    33,937.16x = 456,953,552.45
  5. Step 5: Solve for x
    x = 456,953,552.45/33,937.16
  6. Step 6: Final answer
    x = 13,464.70

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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.