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Finding the Fourth Proportional to 30,201.80, 45,281.10 and 13,548.20

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Solution

The fourth proportional to 30,201.80, 45,281.10 and 13,548.20 is: 20,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.80 : 45,281.10 = 13,548.20 : x
  2. Step 2: Convert to fraction form
    30,201.80/45,281.10 = 13,548.20/x
  3. Step 3: Cross multiply
    30,201.80x = 45,281.10 × 13,548.20
  4. Step 4: Simplify right side
    30,201.80x = 613,477,399.02
  5. Step 5: Solve for x
    x = 613,477,399.02/30,201.80
  6. Step 6: Final answer
    x = 20,312.61

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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.