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Finding the Fourth Proportional to 46,287.50, 69,434.49 and 18,585.50

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Solution

The fourth proportional to 46,287.50, 69,434.49 and 18,585.50 is: 27,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,287.50 : 69,434.49 = 18,585.50 : x
  2. Step 2: Convert to fraction form
    46,287.50/69,434.49 = 18,585.50/x
  3. Step 3: Cross multiply
    46,287.50x = 69,434.49 × 18,585.50
  4. Step 4: Simplify right side
    46,287.50x = 1,290,474,713.90
  5. Step 5: Solve for x
    x = 1,290,474,713.90/46,287.50
  6. Step 6: Final answer
    x = 27,879.55

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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.