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Finding the Fourth Proportional to 89,345.70, 123,289.38 and 49,059

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Solution

The fourth proportional to 89,345.70, 123,289.38 and 49,059 is: 67,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,345.70 : 123,289.38 = 49,059 : x
  2. Step 2: Convert to fraction form
    89,345.70/123,289.38 = 49,059/x
  3. Step 3: Cross multiply
    89,345.70x = 123,289.38 × 49,059
  4. Step 4: Simplify right side
    89,345.70x = 6,048,453,693.42
  5. Step 5: Solve for x
    x = 6,048,453,693.42/89,345.70
  6. Step 6: Final answer
    x = 67,697.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.