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Finding the Fourth Proportional to 82,812.78, 124,223.94 and 23,643.90

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Solution

The fourth proportional to 82,812.78, 124,223.94 and 23,643.90 is: 35,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812.78 : 124,223.94 = 23,643.90 : x
  2. Step 2: Convert to fraction form
    82,812.78/124,223.94 = 23,643.90/x
  3. Step 3: Cross multiply
    82,812.78x = 124,223.94 × 23,643.90
  4. Step 4: Simplify right side
    82,812.78x = 2,937,138,414.97
  5. Step 5: Solve for x
    x = 2,937,138,414.97/82,812.78
  6. Step 6: Final answer
    x = 35,467.21

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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.