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Finding the Fourth Proportional to 31,056, 46,584.32 and 17,234.08

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Solution

The fourth proportional to 31,056, 46,584.32 and 17,234.08 is: 25,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056 : 46,584.32 = 17,234.08 : x
  2. Step 2: Convert to fraction form
    31,056/46,584.32 = 17,234.08/x
  3. Step 3: Cross multiply
    31,056x = 46,584.32 × 17,234.08
  4. Step 4: Simplify right side
    31,056x = 802,837,897.63
  5. Step 5: Solve for x
    x = 802,837,897.63/31,056
  6. Step 6: Final answer
    x = 25,851.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.