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Finding the Fourth Proportional to 47,656, 65,765.34 and 26,438.56

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Solution

The fourth proportional to 47,656, 65,765.34 and 26,438.56 is: 36,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,656 : 65,765.34 = 26,438.56 : x
  2. Step 2: Convert to fraction form
    47,656/65,765.34 = 26,438.56/x
  3. Step 3: Cross multiply
    47,656x = 65,765.34 × 26,438.56
  4. Step 4: Simplify right side
    47,656x = 1,738,740,887.51
  5. Step 5: Solve for x
    x = 1,738,740,887.51/47,656
  6. Step 6: Final answer
    x = 36,485.25

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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.