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Finding the Fourth Proportional to 82,832.80, 124,268.48 and 23,669.28

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Solution

The fourth proportional to 82,832.80, 124,268.48 and 23,669.28 is: 35,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.80 : 124,268.48 = 23,669.28 : x
  2. Step 2: Convert to fraction form
    82,832.80/124,268.48 = 23,669.28/x
  3. Step 3: Cross multiply
    82,832.80x = 124,268.48 × 23,669.28
  4. Step 4: Simplify right side
    82,832.80x = 2,941,345,448.29
  5. Step 5: Solve for x
    x = 2,941,345,448.29/82,832.80
  6. Step 6: Final answer
    x = 35,509.43

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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.