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Finding the Fourth Proportional to 46,506.65, 69,758.40 and 20,211.39

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Solution

The fourth proportional to 46,506.65, 69,758.40 and 20,211.39 is: 30,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506.65 : 69,758.40 = 20,211.39 : x
  2. Step 2: Convert to fraction form
    46,506.65/69,758.40 = 20,211.39/x
  3. Step 3: Cross multiply
    46,506.65x = 69,758.40 × 20,211.39
  4. Step 4: Simplify right side
    46,506.65x = 1,409,914,303.97
  5. Step 5: Solve for x
    x = 1,409,914,303.97/46,506.65
  6. Step 6: Final answer
    x = 30,316.41

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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.