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Finding the Fourth Proportional to 31,097.66, 46,653.78 and 12,378.84

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Solution

The fourth proportional to 31,097.66, 46,653.78 and 12,378.84 is: 18,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.66 : 46,653.78 = 12,378.84 : x
  2. Step 2: Convert to fraction form
    31,097.66/46,653.78 = 12,378.84/x
  3. Step 3: Cross multiply
    31,097.66x = 46,653.78 × 12,378.84
  4. Step 4: Simplify right side
    31,097.66x = 577,519,678.02
  5. Step 5: Solve for x
    x = 577,519,678.02/31,097.66
  6. Step 6: Final answer
    x = 18,571.16

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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.