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Finding the Fourth Proportional to 30,184.66, 45,285.75 and 13,549.54

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Solution

The fourth proportional to 30,184.66, 45,285.75 and 13,549.54 is: 20,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.66 : 45,285.75 = 13,549.54 : x
  2. Step 2: Convert to fraction form
    30,184.66/45,285.75 = 13,549.54/x
  3. Step 3: Cross multiply
    30,184.66x = 45,285.75 × 13,549.54
  4. Step 4: Simplify right side
    30,184.66x = 613,601,081.06
  5. Step 5: Solve for x
    x = 613,601,081.06/30,184.66
  6. Step 6: Final answer
    x = 20,328.24

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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.