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Finding the Fourth Proportional to 31,482.94, 47,218.93 and 11,761.66

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Solution

The fourth proportional to 31,482.94, 47,218.93 and 11,761.66 is: 17,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.94 : 47,218.93 = 11,761.66 : x
  2. Step 2: Convert to fraction form
    31,482.94/47,218.93 = 11,761.66/x
  3. Step 3: Cross multiply
    31,482.94x = 47,218.93 × 11,761.66
  4. Step 4: Simplify right side
    31,482.94x = 555,373,000.22
  5. Step 5: Solve for x
    x = 555,373,000.22/31,482.94
  6. Step 6: Final answer
    x = 17,640.44

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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.