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Finding the Fourth Proportional to 47,357.58, 65,351.38 and 25,846.77

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Solution

The fourth proportional to 47,357.58, 65,351.38 and 25,846.77 is: 35,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,357.58 : 65,351.38 = 25,846.77 : x
  2. Step 2: Convert to fraction form
    47,357.58/65,351.38 = 25,846.77/x
  3. Step 3: Cross multiply
    47,357.58x = 65,351.38 × 25,846.77
  4. Step 4: Simplify right side
    47,357.58x = 1,689,122,088.04
  5. Step 5: Solve for x
    x = 1,689,122,088.04/47,357.58
  6. Step 6: Final answer
    x = 35,667.41

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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.