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Finding the Fourth Proportional to 104,962.56, 157,334.49 and 45,782.34

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Solution

The fourth proportional to 104,962.56, 157,334.49 and 45,782.34 is: 68,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,962.56 : 157,334.49 = 45,782.34 : x
  2. Step 2: Convert to fraction form
    104,962.56/157,334.49 = 45,782.34/x
  3. Step 3: Cross multiply
    104,962.56x = 157,334.49 × 45,782.34
  4. Step 4: Simplify right side
    104,962.56x = 7,203,141,114.91
  5. Step 5: Solve for x
    x = 7,203,141,114.91/104,962.56
  6. Step 6: Final answer
    x = 68,625.81

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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.