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Finding the Fourth Proportional to 31,162.53, 46,674.08 and 14,497.59

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Solution

The fourth proportional to 31,162.53, 46,674.08 and 14,497.59 is: 21,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.53 : 46,674.08 = 14,497.59 : x
  2. Step 2: Convert to fraction form
    31,162.53/46,674.08 = 14,497.59/x
  3. Step 3: Cross multiply
    31,162.53x = 46,674.08 × 14,497.59
  4. Step 4: Simplify right side
    31,162.53x = 676,661,602.98
  5. Step 5: Solve for x
    x = 676,661,602.98/31,162.53
  6. Step 6: Final answer
    x = 21,713.95

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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.