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Finding the Fourth Proportional to 33,617.76, 50,419.35 and 9,918.60

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Solution

The fourth proportional to 33,617.76, 50,419.35 and 9,918.60 is: 14,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,617.76 : 50,419.35 = 9,918.60 : x
  2. Step 2: Convert to fraction form
    33,617.76/50,419.35 = 9,918.60/x
  3. Step 3: Cross multiply
    33,617.76x = 50,419.35 × 9,918.60
  4. Step 4: Simplify right side
    33,617.76x = 500,089,364.91
  5. Step 5: Solve for x
    x = 500,089,364.91/33,617.76
  6. Step 6: Final answer
    x = 14,875.75

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Why These Related Problems?

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