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Finding the Fourth Proportional to 104,959.59, 157,402.94 and 34,822.50

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Solution

The fourth proportional to 104,959.59, 157,402.94 and 34,822.50 is: 52,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,959.59 : 157,402.94 = 34,822.50 : x
  2. Step 2: Convert to fraction form
    104,959.59/157,402.94 = 34,822.50/x
  3. Step 3: Cross multiply
    104,959.59x = 157,402.94 × 34,822.50
  4. Step 4: Simplify right side
    104,959.59x = 5,481,163,704.04
  5. Step 5: Solve for x
    x = 5,481,163,704.04/104,959.59
  6. Step 6: Final answer
    x = 52,221.66

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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.