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Finding the Fourth Proportional to 30,466.94, 45,683.66 and 9,401.24

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Solution

The fourth proportional to 30,466.94, 45,683.66 and 9,401.24 is: 14,096.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,466.94 : 45,683.66 = 9,401.24 : x
  2. Step 2: Convert to fraction form
    30,466.94/45,683.66 = 9,401.24/x
  3. Step 3: Cross multiply
    30,466.94x = 45,683.66 × 9,401.24
  4. Step 4: Simplify right side
    30,466.94x = 429,482,776.31
  5. Step 5: Solve for x
    x = 429,482,776.31/30,466.94
  6. Step 6: Final answer
    x = 14,096.68

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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.