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Finding the Fourth Proportional to 46,553.37, 64,168.94 and 31,441.20

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Solution

The fourth proportional to 46,553.37, 64,168.94 and 31,441.20 is: 43,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,553.37 : 64,168.94 = 31,441.20 : x
  2. Step 2: Convert to fraction form
    46,553.37/64,168.94 = 31,441.20/x
  3. Step 3: Cross multiply
    46,553.37x = 64,168.94 × 31,441.20
  4. Step 4: Simplify right side
    46,553.37x = 2,017,548,314.30
  5. Step 5: Solve for x
    x = 2,017,548,314.30/46,553.37
  6. Step 6: Final answer
    x = 43,338.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.