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Finding the Fourth Proportional to 55,021.50, 75,929.76 and 29,871

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Solution

The fourth proportional to 55,021.50, 75,929.76 and 29,871 is: 41,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,021.50 : 75,929.76 = 29,871 : x
  2. Step 2: Convert to fraction form
    55,021.50/75,929.76 = 29,871/x
  3. Step 3: Cross multiply
    55,021.50x = 75,929.76 × 29,871
  4. Step 4: Simplify right side
    55,021.50x = 2,268,097,860.96
  5. Step 5: Solve for x
    x = 2,268,097,860.96/55,021.50
  6. Step 6: Final answer
    x = 41,222.03

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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.