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Finding the Fourth Proportional to 39,869.88, 55,024.32 and 29,780.80

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Solution

The fourth proportional to 39,869.88, 55,024.32 and 29,780.80 is: 41,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,869.88 : 55,024.32 = 29,780.80 : x
  2. Step 2: Convert to fraction form
    39,869.88/55,024.32 = 29,780.80/x
  3. Step 3: Cross multiply
    39,869.88x = 55,024.32 × 29,780.80
  4. Step 4: Simplify right side
    39,869.88x = 1,638,668,269.06
  5. Step 5: Solve for x
    x = 1,638,668,269.06/39,869.88
  6. Step 6: Final answer
    x = 41,100.41

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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.