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Finding the Fourth Proportional to 41,877, 57,790.26 and 23,015.34

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Solution

The fourth proportional to 41,877, 57,790.26 and 23,015.34 is: 31,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,877 : 57,790.26 = 23,015.34 : x
  2. Step 2: Convert to fraction form
    41,877/57,790.26 = 23,015.34/x
  3. Step 3: Cross multiply
    41,877x = 57,790.26 × 23,015.34
  4. Step 4: Simplify right side
    41,877x = 1,330,062,482.59
  5. Step 5: Solve for x
    x = 1,330,062,482.59/41,877
  6. Step 6: Final answer
    x = 31,761.17

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1.5x scale

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.