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Finding the Fourth Proportional to 33,153.84, 45,753.12 and 20,402.28

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Solution

The fourth proportional to 33,153.84, 45,753.12 and 20,402.28 is: 28,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.84 : 45,753.12 = 20,402.28 : x
  2. Step 2: Convert to fraction form
    33,153.84/45,753.12 = 20,402.28/x
  3. Step 3: Cross multiply
    33,153.84x = 45,753.12 × 20,402.28
  4. Step 4: Simplify right side
    33,153.84x = 933,467,965.11
  5. Step 5: Solve for x
    x = 933,467,965.11/33,153.84
  6. Step 6: Final answer
    x = 28,155.65

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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.