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Finding the Fourth Proportional to 46,133.50, 69,193.98 and 18,034

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Solution

The fourth proportional to 46,133.50, 69,193.98 and 18,034 is: 27,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,133.50 : 69,193.98 = 18,034 : x
  2. Step 2: Convert to fraction form
    46,133.50/69,193.98 = 18,034/x
  3. Step 3: Cross multiply
    46,133.50x = 69,193.98 × 18,034
  4. Step 4: Simplify right side
    46,133.50x = 1,247,844,235.32
  5. Step 5: Solve for x
    x = 1,247,844,235.32/46,133.50
  6. Step 6: Final answer
    x = 27,048.55

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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.