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Finding the Fourth Proportional to 31,653.44, 47,407.46 and 15,809.84

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Solution

The fourth proportional to 31,653.44, 47,407.46 and 15,809.84 is: 23,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.44 : 47,407.46 = 15,809.84 : x
  2. Step 2: Convert to fraction form
    31,653.44/47,407.46 = 15,809.84/x
  3. Step 3: Cross multiply
    31,653.44x = 47,407.46 × 15,809.84
  4. Step 4: Simplify right side
    31,653.44x = 749,504,357.41
  5. Step 5: Solve for x
    x = 749,504,357.41/31,653.44
  6. Step 6: Final answer
    x = 23,678.45

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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.