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Finding the Fourth Proportional to 28,630, 42,947.16 and 10,162

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Solution

The fourth proportional to 28,630, 42,947.16 and 10,162 is: 15,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,630 : 42,947.16 = 10,162 : x
  2. Step 2: Convert to fraction form
    28,630/42,947.16 = 10,162/x
  3. Step 3: Cross multiply
    28,630x = 42,947.16 × 10,162
  4. Step 4: Simplify right side
    28,630x = 436,429,039.92
  5. Step 5: Solve for x
    x = 436,429,039.92/28,630
  6. Step 6: Final answer
    x = 15,243.77

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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.