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Finding the Fourth Proportional to 35,980.04, 53,608.31 and 33,968

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Solution

The fourth proportional to 35,980.04, 53,608.31 and 33,968 is: 50,610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.04 : 53,608.31 = 33,968 : x
  2. Step 2: Convert to fraction form
    35,980.04/53,608.31 = 33,968/x
  3. Step 3: Cross multiply
    35,980.04x = 53,608.31 × 33,968
  4. Step 4: Simplify right side
    35,980.04x = 1,820,967,074.08
  5. Step 5: Solve for x
    x = 1,820,967,074.08/35,980.04
  6. Step 6: Final answer
    x = 50,610.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.