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Finding the Fourth Proportional to 38,402.84, 52,996.32 and 21,408.57

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Solution

The fourth proportional to 38,402.84, 52,996.32 and 21,408.57 is: 29,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.84 : 52,996.32 = 21,408.57 : x
  2. Step 2: Convert to fraction form
    38,402.84/52,996.32 = 21,408.57/x
  3. Step 3: Cross multiply
    38,402.84x = 52,996.32 × 21,408.57
  4. Step 4: Simplify right side
    38,402.84x = 1,134,575,426.46
  5. Step 5: Solve for x
    x = 1,134,575,426.46/38,402.84
  6. Step 6: Final answer
    x = 29,544.05

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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.