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Finding the Fourth Proportional to 30,255.12, 45,373.32 and 9,194.31

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Solution

The fourth proportional to 30,255.12, 45,373.32 and 9,194.31 is: 13,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255.12 : 45,373.32 = 9,194.31 : x
  2. Step 2: Convert to fraction form
    30,255.12/45,373.32 = 9,194.31/x
  3. Step 3: Cross multiply
    30,255.12x = 45,373.32 × 9,194.31
  4. Step 4: Simplify right side
    30,255.12x = 417,176,369.81
  5. Step 5: Solve for x
    x = 417,176,369.81/30,255.12
  6. Step 6: Final answer
    x = 13,788.62

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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.