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Finding the Fourth Proportional to 46,934.75, 64,769.96 and 28,076.33

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Solution

The fourth proportional to 46,934.75, 64,769.96 and 28,076.33 is: 38,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,934.75 : 64,769.96 = 28,076.33 : x
  2. Step 2: Convert to fraction form
    46,934.75/64,769.96 = 28,076.33/x
  3. Step 3: Cross multiply
    46,934.75x = 64,769.96 × 28,076.33
  4. Step 4: Simplify right side
    46,934.75x = 1,818,502,771.05
  5. Step 5: Solve for x
    x = 1,818,502,771.05/46,934.75
  6. Step 6: Final answer
    x = 38,745.34

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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.