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Finding the Fourth Proportional to 33,723.64, 50,575.89 and 10,030.23

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Solution

The fourth proportional to 33,723.64, 50,575.89 and 10,030.23 is: 15,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,723.64 : 50,575.89 = 10,030.23 : x
  2. Step 2: Convert to fraction form
    33,723.64/50,575.89 = 10,030.23/x
  3. Step 3: Cross multiply
    33,723.64x = 50,575.89 × 10,030.23
  4. Step 4: Simplify right side
    33,723.64x = 507,287,846.77
  5. Step 5: Solve for x
    x = 507,287,846.77/33,723.64
  6. Step 6: Final answer
    x = 15,042.50

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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.