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Finding the Fourth Proportional to 30,034, 45,051.16 and 8,146

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Solution

The fourth proportional to 30,034, 45,051.16 and 8,146 is: 12,219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034 : 45,051.16 = 8,146 : x
  2. Step 2: Convert to fraction form
    30,034/45,051.16 = 8,146/x
  3. Step 3: Cross multiply
    30,034x = 45,051.16 × 8,146
  4. Step 4: Simplify right side
    30,034x = 366,986,749.36
  5. Step 5: Solve for x
    x = 366,986,749.36/30,034
  6. Step 6: Final answer
    x = 12,219.04

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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.