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Finding the Fourth Proportional to 46,200, 69,311.52 and 13,368

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Solution

The fourth proportional to 46,200, 69,311.52 and 13,368 is: 20,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200 : 69,311.52 = 13,368 : x
  2. Step 2: Convert to fraction form
    46,200/69,311.52 = 13,368/x
  3. Step 3: Cross multiply
    46,200x = 69,311.52 × 13,368
  4. Step 4: Simplify right side
    46,200x = 926,556,399.36
  5. Step 5: Solve for x
    x = 926,556,399.36/46,200
  6. Step 6: Final answer
    x = 20,055.33

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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.