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Finding the Fourth Proportional to 45,364.32, 68,046.48 and 14,202

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Solution

The fourth proportional to 45,364.32, 68,046.48 and 14,202 is: 21,303

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,364.32 : 68,046.48 = 14,202 : x
  2. Step 2: Convert to fraction form
    45,364.32/68,046.48 = 14,202/x
  3. Step 3: Cross multiply
    45,364.32x = 68,046.48 × 14,202
  4. Step 4: Simplify right side
    45,364.32x = 966,396,108.96
  5. Step 5: Solve for x
    x = 966,396,108.96/45,364.32
  6. Step 6: Final answer
    x = 21,303

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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.