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Finding the Fourth Proportional to 46,685.96, 70,029.02 and 13,853.96

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Solution

The fourth proportional to 46,685.96, 70,029.02 and 13,853.96 is: 20,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,685.96 : 70,029.02 = 13,853.96 : x
  2. Step 2: Convert to fraction form
    46,685.96/70,029.02 = 13,853.96/x
  3. Step 3: Cross multiply
    46,685.96x = 70,029.02 × 13,853.96
  4. Step 4: Simplify right side
    46,685.96x = 970,179,241.92
  5. Step 5: Solve for x
    x = 970,179,241.92/46,685.96
  6. Step 6: Final answer
    x = 20,780.96

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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.