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Finding the Fourth Proportional to 30,434.80, 45,612.66 and 12,401.98

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Solution

The fourth proportional to 30,434.80, 45,612.66 and 12,401.98 is: 18,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.80 : 45,612.66 = 12,401.98 : x
  2. Step 2: Convert to fraction form
    30,434.80/45,612.66 = 12,401.98/x
  3. Step 3: Cross multiply
    30,434.80x = 45,612.66 × 12,401.98
  4. Step 4: Simplify right side
    30,434.80x = 565,687,297.07
  5. Step 5: Solve for x
    x = 565,687,297.07/30,434.80
  6. Step 6: Final answer
    x = 18,586.86

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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.