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Finding the Fourth Proportional to 47,846.44, 66,039.81 and 37,070

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Solution

The fourth proportional to 47,846.44, 66,039.81 and 37,070 is: 51,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846.44 : 66,039.81 = 37,070 : x
  2. Step 2: Convert to fraction form
    47,846.44/66,039.81 = 37,070/x
  3. Step 3: Cross multiply
    47,846.44x = 66,039.81 × 37,070
  4. Step 4: Simplify right side
    47,846.44x = 2,448,095,756.70
  5. Step 5: Solve for x
    x = 2,448,095,756.70/47,846.44
  6. Step 6: Final answer
    x = 51,165.68

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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.