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Finding the Fourth Proportional to 123,951.74, 185,853.69 and 49,082.63

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Solution

The fourth proportional to 123,951.74, 185,853.69 and 49,082.63 is: 73,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,951.74 : 185,853.69 = 49,082.63 : x
  2. Step 2: Convert to fraction form
    123,951.74/185,853.69 = 49,082.63/x
  3. Step 3: Cross multiply
    123,951.74x = 185,853.69 × 49,082.63
  4. Step 4: Simplify right side
    123,951.74x = 9,122,186,971.14
  5. Step 5: Solve for x
    x = 9,122,186,971.14/123,951.74
  6. Step 6: Final answer
    x = 73,594.67

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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.