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Finding the Fourth Proportional to 105,424.67, 158,035.50 and 38,828.48

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Solution

The fourth proportional to 105,424.67, 158,035.50 and 38,828.48 is: 58,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.67 : 158,035.50 = 38,828.48 : x
  2. Step 2: Convert to fraction form
    105,424.67/158,035.50 = 38,828.48/x
  3. Step 3: Cross multiply
    105,424.67x = 158,035.50 × 38,828.48
  4. Step 4: Simplify right side
    105,424.67x = 6,136,277,460.86
  5. Step 5: Solve for x
    x = 6,136,277,460.86/105,424.67
  6. Step 6: Final answer
    x = 58,205.33

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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.