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Finding the Fourth Proportional to 46,070, 63,576.60 and 27,207.44

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Solution

The fourth proportional to 46,070, 63,576.60 and 27,207.44 is: 37,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,070 : 63,576.60 = 27,207.44 : x
  2. Step 2: Convert to fraction form
    46,070/63,576.60 = 27,207.44/x
  3. Step 3: Cross multiply
    46,070x = 63,576.60 × 27,207.44
  4. Step 4: Simplify right side
    46,070x = 1,729,756,529.90
  5. Step 5: Solve for x
    x = 1,729,756,529.90/46,070
  6. Step 6: Final answer
    x = 37,546.27

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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.