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Finding the Fourth Proportional to 33,146.08, 49,689.63 and 12,082.16

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Solution

The fourth proportional to 33,146.08, 49,689.63 and 12,082.16 is: 18,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.08 : 49,689.63 = 12,082.16 : x
  2. Step 2: Convert to fraction form
    33,146.08/49,689.63 = 12,082.16/x
  3. Step 3: Cross multiply
    33,146.08x = 49,689.63 × 12,082.16
  4. Step 4: Simplify right side
    33,146.08x = 600,358,184.22
  5. Step 5: Solve for x
    x = 600,358,184.22/33,146.08
  6. Step 6: Final answer
    x = 18,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.