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Finding the Fourth Proportional to 82,740.94, 124,112.68 and 23,578

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Solution

The fourth proportional to 82,740.94, 124,112.68 and 23,578 is: 35,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,740.94 : 124,112.68 = 23,578 : x
  2. Step 2: Convert to fraction form
    82,740.94/124,112.68 = 23,578/x
  3. Step 3: Cross multiply
    82,740.94x = 124,112.68 × 23,578
  4. Step 4: Simplify right side
    82,740.94x = 2,926,328,769.04
  5. Step 5: Solve for x
    x = 2,926,328,769.04/82,740.94
  6. Step 6: Final answer
    x = 35,367.36

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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.