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Finding the Fourth Proportional to 105,407.94, 158,174.22 and 38,894.82

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Solution

The fourth proportional to 105,407.94, 158,174.22 and 38,894.82 is: 58,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,407.94 : 158,174.22 = 38,894.82 : x
  2. Step 2: Convert to fraction form
    105,407.94/158,174.22 = 38,894.82/x
  3. Step 3: Cross multiply
    105,407.94x = 158,174.22 × 38,894.82
  4. Step 4: Simplify right side
    105,407.94x = 6,152,157,815.54
  5. Step 5: Solve for x
    x = 6,152,157,815.54/105,407.94
  6. Step 6: Final answer
    x = 58,365.22

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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.