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Finding the Fourth Proportional to 81,411.47, 122,125.50 and 28,096.51

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Solution

The fourth proportional to 81,411.47, 122,125.50 and 28,096.51 is: 42,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.47 : 122,125.50 = 28,096.51 : x
  2. Step 2: Convert to fraction form
    81,411.47/122,125.50 = 28,096.51/x
  3. Step 3: Cross multiply
    81,411.47x = 122,125.50 × 28,096.51
  4. Step 4: Simplify right side
    81,411.47x = 3,431,300,777.74
  5. Step 5: Solve for x
    x = 3,431,300,777.74/81,411.47
  6. Step 6: Final answer
    x = 42,147.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.