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Finding the Fourth Proportional to 33,038.80, 45,593.87 and 17,931.59

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Solution

The fourth proportional to 33,038.80, 45,593.87 and 17,931.59 is: 24,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.80 : 45,593.87 = 17,931.59 : x
  2. Step 2: Convert to fraction form
    33,038.80/45,593.87 = 17,931.59/x
  3. Step 3: Cross multiply
    33,038.80x = 45,593.87 × 17,931.59
  4. Step 4: Simplify right side
    33,038.80x = 817,570,674.92
  5. Step 5: Solve for x
    x = 817,570,674.92/33,038.80
  6. Step 6: Final answer
    x = 24,745.78

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