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Finding the Fourth Proportional to 82,723.36, 124,064.54 and 23,559.55

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Solution

The fourth proportional to 82,723.36, 124,064.54 and 23,559.55 is: 35,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,723.36 : 124,064.54 = 23,559.55 : x
  2. Step 2: Convert to fraction form
    82,723.36/124,064.54 = 23,559.55/x
  3. Step 3: Cross multiply
    82,723.36x = 124,064.54 × 23,559.55
  4. Step 4: Simplify right side
    82,723.36x = 2,922,904,733.36
  5. Step 5: Solve for x
    x = 2,922,904,733.36/82,723.36
  6. Step 6: Final answer
    x = 35,333.49

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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.