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Finding the Fourth Proportional to 46,280.50, 69,365.16 and 21,286.14

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Solution

The fourth proportional to 46,280.50, 69,365.16 and 21,286.14 is: 31,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,280.50 : 69,365.16 = 21,286.14 : x
  2. Step 2: Convert to fraction form
    46,280.50/69,365.16 = 21,286.14/x
  3. Step 3: Cross multiply
    46,280.50x = 69,365.16 × 21,286.14
  4. Step 4: Simplify right side
    46,280.50x = 1,476,516,506.88
  5. Step 5: Solve for x
    x = 1,476,516,506.88/46,280.50
  6. Step 6: Final answer
    x = 31,903.64

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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.