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Finding the Fourth Proportional to 82,703.73, 124,057.42 and 23,541.28

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Solution

The fourth proportional to 82,703.73, 124,057.42 and 23,541.28 is: 35,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,703.73 : 124,057.42 = 23,541.28 : x
  2. Step 2: Convert to fraction form
    82,703.73/124,057.42 = 23,541.28/x
  3. Step 3: Cross multiply
    82,703.73x = 124,057.42 × 23,541.28
  4. Step 4: Simplify right side
    82,703.73x = 2,920,470,921.54
  5. Step 5: Solve for x
    x = 2,920,470,921.54/82,703.73
  6. Step 6: Final answer
    x = 35,312.44

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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.