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Finding the Fourth Proportional to 39,212.83, 54,114.51 and 21,309

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Solution

The fourth proportional to 39,212.83, 54,114.51 and 21,309 is: 29,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,212.83 : 54,114.51 = 21,309 : x
  2. Step 2: Convert to fraction form
    39,212.83/54,114.51 = 21,309/x
  3. Step 3: Cross multiply
    39,212.83x = 54,114.51 × 21,309
  4. Step 4: Simplify right side
    39,212.83x = 1,153,126,093.59
  5. Step 5: Solve for x
    x = 1,153,126,093.59/39,212.83
  6. Step 6: Final answer
    x = 29,406.86

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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.