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Finding the Fourth Proportional to 35,364.75, 48,778.38 and 30,022.80

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Solution

The fourth proportional to 35,364.75, 48,778.38 and 30,022.80 is: 41,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,364.75 : 48,778.38 = 30,022.80 : x
  2. Step 2: Convert to fraction form
    35,364.75/48,778.38 = 30,022.80/x
  3. Step 3: Cross multiply
    35,364.75x = 48,778.38 × 30,022.80
  4. Step 4: Simplify right side
    35,364.75x = 1,464,463,547.06
  5. Step 5: Solve for x
    x = 1,464,463,547.06/35,364.75
  6. Step 6: Final answer
    x = 41,410.26

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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.