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Finding the Fourth Proportional to 33,038.46, 45,593.10 and 17,931.12

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Solution

The fourth proportional to 33,038.46, 45,593.10 and 17,931.12 is: 24,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038.46 : 45,593.10 = 17,931.12 : x
  2. Step 2: Convert to fraction form
    33,038.46/45,593.10 = 17,931.12/x
  3. Step 3: Cross multiply
    33,038.46x = 45,593.10 × 17,931.12
  4. Step 4: Simplify right side
    33,038.46x = 817,535,347.27
  5. Step 5: Solve for x
    x = 817,535,347.27/33,038.46
  6. Step 6: Final answer
    x = 24,744.96

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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.