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Finding the Fourth Proportional to 105,584.70, 158,360.54 and 34,506.78

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Solution

The fourth proportional to 105,584.70, 158,360.54 and 34,506.78 is: 51,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,584.70 : 158,360.54 = 34,506.78 : x
  2. Step 2: Convert to fraction form
    105,584.70/158,360.54 = 34,506.78/x
  3. Step 3: Cross multiply
    105,584.70x = 158,360.54 × 34,506.78
  4. Step 4: Simplify right side
    105,584.70x = 5,464,512,314.46
  5. Step 5: Solve for x
    x = 5,464,512,314.46/105,584.70
  6. Step 6: Final answer
    x = 51,754.77

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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.