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Finding the Fourth Proportional to 47,454.41, 65,483.79 and 26,232

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Solution

The fourth proportional to 47,454.41, 65,483.79 and 26,232 is: 36,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454.41 : 65,483.79 = 26,232 : x
  2. Step 2: Convert to fraction form
    47,454.41/65,483.79 = 26,232/x
  3. Step 3: Cross multiply
    47,454.41x = 65,483.79 × 26,232
  4. Step 4: Simplify right side
    47,454.41x = 1,717,770,779.28
  5. Step 5: Solve for x
    x = 1,717,770,779.28/47,454.41
  6. Step 6: Final answer
    x = 36,198.34

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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.