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Finding the Fourth Proportional to 60,114.84, 82,951.26 and 34,629.54

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Solution

The fourth proportional to 60,114.84, 82,951.26 and 34,629.54 is: 47,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,114.84 : 82,951.26 = 34,629.54 : x
  2. Step 2: Convert to fraction form
    60,114.84/82,951.26 = 34,629.54/x
  3. Step 3: Cross multiply
    60,114.84x = 82,951.26 × 34,629.54
  4. Step 4: Simplify right side
    60,114.84x = 2,872,563,976.22
  5. Step 5: Solve for x
    x = 2,872,563,976.22/60,114.84
  6. Step 6: Final answer
    x = 47,784.61

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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.