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Finding the Fourth Proportional to 49,475.75, 74,213.01 and 12,035.82

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Solution

The fourth proportional to 49,475.75, 74,213.01 and 12,035.82 is: 18,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,475.75 : 74,213.01 = 12,035.82 : x
  2. Step 2: Convert to fraction form
    49,475.75/74,213.01 = 12,035.82/x
  3. Step 3: Cross multiply
    49,475.75x = 74,213.01 × 12,035.82
  4. Step 4: Simplify right side
    49,475.75x = 893,214,708.32
  5. Step 5: Solve for x
    x = 893,214,708.32/49,475.75
  6. Step 6: Final answer
    x = 18,053.59

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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.