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Finding the Fourth Proportional to 30,133.84, 45,201.36 and 21,212.68

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Solution

The fourth proportional to 30,133.84, 45,201.36 and 21,212.68 is: 31,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.84 : 45,201.36 = 21,212.68 : x
  2. Step 2: Convert to fraction form
    30,133.84/45,201.36 = 21,212.68/x
  3. Step 3: Cross multiply
    30,133.84x = 45,201.36 × 21,212.68
  4. Step 4: Simplify right side
    30,133.84x = 958,841,985.24
  5. Step 5: Solve for x
    x = 958,841,985.24/30,133.84
  6. Step 6: Final answer
    x = 31,819.44

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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.