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Finding the Fourth Proportional to 104,643.43, 156,965.14 and 30,771.43

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Solution

The fourth proportional to 104,643.43, 156,965.14 and 30,771.43 is: 46,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,643.43 : 156,965.14 = 30,771.43 : x
  2. Step 2: Convert to fraction form
    104,643.43/156,965.14 = 30,771.43/x
  3. Step 3: Cross multiply
    104,643.43x = 156,965.14 × 30,771.43
  4. Step 4: Simplify right side
    104,643.43x = 4,830,041,464.00
  5. Step 5: Solve for x
    x = 4,830,041,464.00/104,643.43
  6. Step 6: Final answer
    x = 46,157.14

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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.