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Finding the Fourth Proportional to 47,697.86, 65,826.03 and 26,477.48

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Solution

The fourth proportional to 47,697.86, 65,826.03 and 26,477.48 is: 36,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.86 : 65,826.03 = 26,477.48 : x
  2. Step 2: Convert to fraction form
    47,697.86/65,826.03 = 26,477.48/x
  3. Step 3: Cross multiply
    47,697.86x = 65,826.03 × 26,477.48
  4. Step 4: Simplify right side
    47,697.86x = 1,742,907,392.80
  5. Step 5: Solve for x
    x = 1,742,907,392.80/47,697.86
  6. Step 6: Final answer
    x = 36,540.58

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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.