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Finding the Fourth Proportional to 55,013.50, 75,918.72 and 29,863

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Solution

The fourth proportional to 55,013.50, 75,918.72 and 29,863 is: 41,210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,013.50 : 75,918.72 = 29,863 : x
  2. Step 2: Convert to fraction form
    55,013.50/75,918.72 = 29,863/x
  3. Step 3: Cross multiply
    55,013.50x = 75,918.72 × 29,863
  4. Step 4: Simplify right side
    55,013.50x = 2,267,160,735.36
  5. Step 5: Solve for x
    x = 2,267,160,735.36/55,013.50
  6. Step 6: Final answer
    x = 41,210.99

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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.