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Finding the Fourth Proportional to 29,769.94, 41,083.02 and 16,342.45

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Solution

The fourth proportional to 29,769.94, 41,083.02 and 16,342.45 is: 22,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.94 : 41,083.02 = 16,342.45 : x
  2. Step 2: Convert to fraction form
    29,769.94/41,083.02 = 16,342.45/x
  3. Step 3: Cross multiply
    29,769.94x = 41,083.02 × 16,342.45
  4. Step 4: Simplify right side
    29,769.94x = 671,397,200.20
  5. Step 5: Solve for x
    x = 671,397,200.20/29,769.94
  6. Step 6: Final answer
    x = 22,552.86

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1.5x scale

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.