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Finding the Fourth Proportional to 31,326.62, 46,999.67 and 10,266.84

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Solution

The fourth proportional to 31,326.62, 46,999.67 and 10,266.84 is: 15,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,326.62 : 46,999.67 = 10,266.84 : x
  2. Step 2: Convert to fraction form
    31,326.62/46,999.67 = 10,266.84/x
  3. Step 3: Cross multiply
    31,326.62x = 46,999.67 × 10,266.84
  4. Step 4: Simplify right side
    31,326.62x = 482,538,040.61
  5. Step 5: Solve for x
    x = 482,538,040.61/31,326.62
  6. Step 6: Final answer
    x = 15,403.45

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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.