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Finding the Fourth Proportional to 33,123.84, 49,708.80 and 21,408

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Solution

The fourth proportional to 33,123.84, 49,708.80 and 21,408 is: 32,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.84 : 49,708.80 = 21,408 : x
  2. Step 2: Convert to fraction form
    33,123.84/49,708.80 = 21,408/x
  3. Step 3: Cross multiply
    33,123.84x = 49,708.80 × 21,408
  4. Step 4: Simplify right side
    33,123.84x = 1,064,165,990.40
  5. Step 5: Solve for x
    x = 1,064,165,990.40/33,123.84
  6. Step 6: Final answer
    x = 32,126.89

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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.