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Finding the Fourth Proportional to 104,796.48, 157,141.32 and 51,492

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Solution

The fourth proportional to 104,796.48, 157,141.32 and 51,492 is: 77,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,796.48 : 157,141.32 = 51,492 : x
  2. Step 2: Convert to fraction form
    104,796.48/157,141.32 = 51,492/x
  3. Step 3: Cross multiply
    104,796.48x = 157,141.32 × 51,492
  4. Step 4: Simplify right side
    104,796.48x = 8,091,520,849.44
  5. Step 5: Solve for x
    x = 8,091,520,849.44/104,796.48
  6. Step 6: Final answer
    x = 77,211.76

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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.