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Finding the Fourth Proportional to 31,238.50, 46,857.74 and 9,051.89

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Solution

The fourth proportional to 31,238.50, 46,857.74 and 9,051.89 is: 13,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.50 : 46,857.74 = 9,051.89 : x
  2. Step 2: Convert to fraction form
    31,238.50/46,857.74 = 9,051.89/x
  3. Step 3: Cross multiply
    31,238.50x = 46,857.74 × 9,051.89
  4. Step 4: Simplify right side
    31,238.50x = 424,150,873.84
  5. Step 5: Solve for x
    x = 424,150,873.84/31,238.50
  6. Step 6: Final answer
    x = 13,577.83

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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.