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Finding the Fourth Proportional to 105,436.50, 158,162.86 and 30,557.66

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Solution

The fourth proportional to 105,436.50, 158,162.86 and 30,557.66 is: 45,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,436.50 : 158,162.86 = 30,557.66 : x
  2. Step 2: Convert to fraction form
    105,436.50/158,162.86 = 30,557.66/x
  3. Step 3: Cross multiply
    105,436.50x = 158,162.86 × 30,557.66
  4. Step 4: Simplify right side
    105,436.50x = 4,833,086,900.51
  5. Step 5: Solve for x
    x = 4,833,086,900.51/105,436.50
  6. Step 6: Final answer
    x = 45,838.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.