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Finding the Fourth Proportional to 46,899, 70,348.50 and 14,067

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Solution

The fourth proportional to 46,899, 70,348.50 and 14,067 is: 21,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899 : 70,348.50 = 14,067 : x
  2. Step 2: Convert to fraction form
    46,899/70,348.50 = 14,067/x
  3. Step 3: Cross multiply
    46,899x = 70,348.50 × 14,067
  4. Step 4: Simplify right side
    46,899x = 989,592,349.50
  5. Step 5: Solve for x
    x = 989,592,349.50/46,899
  6. Step 6: Final answer
    x = 21,100.50

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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.