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Finding the Fourth Proportional to 105,046.74, 157,506.39 and 41,876.46

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Solution

The fourth proportional to 105,046.74, 157,506.39 and 41,876.46 is: 62,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,046.74 : 157,506.39 = 41,876.46 : x
  2. Step 2: Convert to fraction form
    105,046.74/157,506.39 = 41,876.46/x
  3. Step 3: Cross multiply
    105,046.74x = 157,506.39 × 41,876.46
  4. Step 4: Simplify right side
    105,046.74x = 6,595,810,040.58
  5. Step 5: Solve for x
    x = 6,595,810,040.58/105,046.74
  6. Step 6: Final answer
    x = 62,789.29

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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.