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Finding the Fourth Proportional to 31,092.31, 46,638.47 and 7,718.75

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Solution

The fourth proportional to 31,092.31, 46,638.47 and 7,718.75 is: 11,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.31 : 46,638.47 = 7,718.75 : x
  2. Step 2: Convert to fraction form
    31,092.31/46,638.47 = 7,718.75/x
  3. Step 3: Cross multiply
    31,092.31x = 46,638.47 × 7,718.75
  4. Step 4: Simplify right side
    31,092.31x = 359,990,690.31
  5. Step 5: Solve for x
    x = 359,990,690.31/31,092.31
  6. Step 6: Final answer
    x = 11,578.13

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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.