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Finding the Fourth Proportional to 45,596.56, 68,401.70 and 16,009.20

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Solution

The fourth proportional to 45,596.56, 68,401.70 and 16,009.20 is: 24,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,596.56 : 68,401.70 = 16,009.20 : x
  2. Step 2: Convert to fraction form
    45,596.56/68,401.70 = 16,009.20/x
  3. Step 3: Cross multiply
    45,596.56x = 68,401.70 × 16,009.20
  4. Step 4: Simplify right side
    45,596.56x = 1,095,056,495.64
  5. Step 5: Solve for x
    x = 1,095,056,495.64/45,596.56
  6. Step 6: Final answer
    x = 24,016.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.