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Finding the Fourth Proportional to 39,782.34, 54,898.90 and 21,877.39

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Solution

The fourth proportional to 39,782.34, 54,898.90 and 21,877.39 is: 30,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.34 : 54,898.90 = 21,877.39 : x
  2. Step 2: Convert to fraction form
    39,782.34/54,898.90 = 21,877.39/x
  3. Step 3: Cross multiply
    39,782.34x = 54,898.90 × 21,877.39
  4. Step 4: Simplify right side
    39,782.34x = 1,201,044,645.87
  5. Step 5: Solve for x
    x = 1,201,044,645.87/39,782.34
  6. Step 6: Final answer
    x = 30,190.40

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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.