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Finding the Fourth Proportional to 30,126.80, 45,191.16 and 10,406.48

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Solution

The fourth proportional to 30,126.80, 45,191.16 and 10,406.48 is: 15,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126.80 : 45,191.16 = 10,406.48 : x
  2. Step 2: Convert to fraction form
    30,126.80/45,191.16 = 10,406.48/x
  3. Step 3: Cross multiply
    30,126.80x = 45,191.16 × 10,406.48
  4. Step 4: Simplify right side
    30,126.80x = 470,280,902.72
  5. Step 5: Solve for x
    x = 470,280,902.72/30,126.80
  6. Step 6: Final answer
    x = 15,610.05

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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.