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Finding the Fourth Proportional to 30,194.96, 45,281.66 and 12,420.42

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Solution

The fourth proportional to 30,194.96, 45,281.66 and 12,420.42 is: 18,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.96 : 45,281.66 = 12,420.42 : x
  2. Step 2: Convert to fraction form
    30,194.96/45,281.66 = 12,420.42/x
  3. Step 3: Cross multiply
    30,194.96x = 45,281.66 × 12,420.42
  4. Step 4: Simplify right side
    30,194.96x = 562,417,173.40
  5. Step 5: Solve for x
    x = 562,417,173.40/30,194.96
  6. Step 6: Final answer
    x = 18,626.20

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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.