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Finding the Fourth Proportional to 51,806.16, 71,518.32 and 33,928.56

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Solution

The fourth proportional to 51,806.16, 71,518.32 and 33,928.56 is: 46,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.16 : 71,518.32 = 33,928.56 : x
  2. Step 2: Convert to fraction form
    51,806.16/71,518.32 = 33,928.56/x
  3. Step 3: Cross multiply
    51,806.16x = 71,518.32 × 33,928.56
  4. Step 4: Simplify right side
    51,806.16x = 2,426,513,611.22
  5. Step 5: Solve for x
    x = 2,426,513,611.22/51,806.16
  6. Step 6: Final answer
    x = 46,838.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.