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Finding the Fourth Proportional to 31,227, 46,837.05 and 7,853.45

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Solution

The fourth proportional to 31,227, 46,837.05 and 7,853.45 is: 11,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227 : 46,837.05 = 7,853.45 : x
  2. Step 2: Convert to fraction form
    31,227/46,837.05 = 7,853.45/x
  3. Step 3: Cross multiply
    31,227x = 46,837.05 × 7,853.45
  4. Step 4: Simplify right side
    31,227x = 367,832,196.14
  5. Step 5: Solve for x
    x = 367,832,196.14/31,227
  6. Step 6: Final answer
    x = 11,779.30

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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.