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Finding the Fourth Proportional to 30,185, 45,280 and 9,408.50

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Solution

The fourth proportional to 30,185, 45,280 and 9,408.50 is: 14,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185 : 45,280 = 9,408.50 : x
  2. Step 2: Convert to fraction form
    30,185/45,280 = 9,408.50/x
  3. Step 3: Cross multiply
    30,185x = 45,280 × 9,408.50
  4. Step 4: Simplify right side
    30,185x = 426,016,880
  5. Step 5: Solve for x
    x = 426,016,880/30,185
  6. Step 6: Final answer
    x = 14,113.53

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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.