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Finding the Fourth Proportional to 31,056.36, 46,583.98 and 7,682.79

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Solution

The fourth proportional to 31,056.36, 46,583.98 and 7,682.79 is: 11,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.36 : 46,583.98 = 7,682.79 : x
  2. Step 2: Convert to fraction form
    31,056.36/46,583.98 = 7,682.79/x
  3. Step 3: Cross multiply
    31,056.36x = 46,583.98 × 7,682.79
  4. Step 4: Simplify right side
    31,056.36x = 357,894,935.70
  5. Step 5: Solve for x
    x = 357,894,935.70/31,056.36
  6. Step 6: Final answer
    x = 11,524.05

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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.