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Finding the Fourth Proportional to 45,368.32, 68,052.48 and 14,206

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Solution

The fourth proportional to 45,368.32, 68,052.48 and 14,206 is: 21,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,368.32 : 68,052.48 = 14,206 : x
  2. Step 2: Convert to fraction form
    45,368.32/68,052.48 = 14,206/x
  3. Step 3: Cross multiply
    45,368.32x = 68,052.48 × 14,206
  4. Step 4: Simplify right side
    45,368.32x = 966,753,530.88
  5. Step 5: Solve for x
    x = 966,753,530.88/45,368.32
  6. Step 6: Final answer
    x = 21,309

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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.