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Finding the Fourth Proportional to 47,251, 65,206.38 and 26,030.26

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Solution

The fourth proportional to 47,251, 65,206.38 and 26,030.26 is: 35,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,251 : 65,206.38 = 26,030.26 : x
  2. Step 2: Convert to fraction form
    47,251/65,206.38 = 26,030.26/x
  3. Step 3: Cross multiply
    47,251x = 65,206.38 × 26,030.26
  4. Step 4: Simplify right side
    47,251x = 1,697,339,025.06
  5. Step 5: Solve for x
    x = 1,697,339,025.06/47,251
  6. Step 6: Final answer
    x = 35,921.76

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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.