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Finding the Fourth Proportional to 31,718.31, 47,577.31 and 8,026.08

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Solution

The fourth proportional to 31,718.31, 47,577.31 and 8,026.08 is: 12,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,718.31 : 47,577.31 = 8,026.08 : x
  2. Step 2: Convert to fraction form
    31,718.31/47,577.31 = 8,026.08/x
  3. Step 3: Cross multiply
    31,718.31x = 47,577.31 × 8,026.08
  4. Step 4: Simplify right side
    31,718.31x = 381,859,296.24
  5. Step 5: Solve for x
    x = 381,859,296.24/31,718.31
  6. Step 6: Final answer
    x = 12,039.08

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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.