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Finding the Fourth Proportional to 30,129.84, 45,195.36 and 21,208.68

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Solution

The fourth proportional to 30,129.84, 45,195.36 and 21,208.68 is: 31,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.84 : 45,195.36 = 21,208.68 : x
  2. Step 2: Convert to fraction form
    30,129.84/45,195.36 = 21,208.68/x
  3. Step 3: Cross multiply
    30,129.84x = 45,195.36 × 21,208.68
  4. Step 4: Simplify right side
    30,129.84x = 958,533,927.72
  5. Step 5: Solve for x
    x = 958,533,927.72/30,129.84
  6. Step 6: Final answer
    x = 31,813.44

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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.