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Finding the Fourth Proportional to 46,811.88, 64,594.26 and 27,945

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Solution

The fourth proportional to 46,811.88, 64,594.26 and 27,945 is: 38,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,811.88 : 64,594.26 = 27,945 : x
  2. Step 2: Convert to fraction form
    46,811.88/64,594.26 = 27,945/x
  3. Step 3: Cross multiply
    46,811.88x = 64,594.26 × 27,945
  4. Step 4: Simplify right side
    46,811.88x = 1,805,086,595.70
  5. Step 5: Solve for x
    x = 1,805,086,595.70/46,811.88
  6. Step 6: Final answer
    x = 38,560.44

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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.