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Finding the Fourth Proportional to 50,698.42, 76,021.54 and 17,409.48

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Solution

The fourth proportional to 50,698.42, 76,021.54 and 17,409.48 is: 26,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.42 : 76,021.54 = 17,409.48 : x
  2. Step 2: Convert to fraction form
    50,698.42/76,021.54 = 17,409.48/x
  3. Step 3: Cross multiply
    50,698.42x = 76,021.54 × 17,409.48
  4. Step 4: Simplify right side
    50,698.42x = 1,323,495,480.20
  5. Step 5: Solve for x
    x = 1,323,495,480.20/50,698.42
  6. Step 6: Final answer
    x = 26,105.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.