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Finding the Fourth Proportional to 33,731.29, 50,596.89 and 10,038.72

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Solution

The fourth proportional to 33,731.29, 50,596.89 and 10,038.72 is: 15,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,731.29 : 50,596.89 = 10,038.72 : x
  2. Step 2: Convert to fraction form
    33,731.29/50,596.89 = 10,038.72/x
  3. Step 3: Cross multiply
    33,731.29x = 50,596.89 × 10,038.72
  4. Step 4: Simplify right side
    33,731.29x = 507,928,011.58
  5. Step 5: Solve for x
    x = 507,928,011.58/33,731.29
  6. Step 6: Final answer
    x = 15,058.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.