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Finding the Fourth Proportional to 38,057.50, 52,501.82 and 24,633.06

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Solution

The fourth proportional to 38,057.50, 52,501.82 and 24,633.06 is: 33,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.50 : 52,501.82 = 24,633.06 : x
  2. Step 2: Convert to fraction form
    38,057.50/52,501.82 = 24,633.06/x
  3. Step 3: Cross multiply
    38,057.50x = 52,501.82 × 24,633.06
  4. Step 4: Simplify right side
    38,057.50x = 1,293,280,596.01
  5. Step 5: Solve for x
    x = 1,293,280,596.01/38,057.50
  6. Step 6: Final answer
    x = 33,982.28

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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.