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Finding the Fourth Proportional to 33,117.60, 49,676.40 and 30,914.40

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Solution

The fourth proportional to 33,117.60, 49,676.40 and 30,914.40 is: 46,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117.60 : 49,676.40 = 30,914.40 : x
  2. Step 2: Convert to fraction form
    33,117.60/49,676.40 = 30,914.40/x
  3. Step 3: Cross multiply
    33,117.60x = 49,676.40 × 30,914.40
  4. Step 4: Simplify right side
    33,117.60x = 1,535,716,100.16
  5. Step 5: Solve for x
    x = 1,535,716,100.16/33,117.60
  6. Step 6: Final answer
    x = 46,371.60

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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.