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Finding the Fourth Proportional to 83,029.31, 114,582.98 and 47,224.48

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Solution

The fourth proportional to 83,029.31, 114,582.98 and 47,224.48 is: 65,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.31 : 114,582.98 = 47,224.48 : x
  2. Step 2: Convert to fraction form
    83,029.31/114,582.98 = 47,224.48/x
  3. Step 3: Cross multiply
    83,029.31x = 114,582.98 × 47,224.48
  4. Step 4: Simplify right side
    83,029.31x = 5,411,120,838.31
  5. Step 5: Solve for x
    x = 5,411,120,838.31/83,029.31
  6. Step 6: Final answer
    x = 65,171.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.