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Finding the Fourth Proportional to 73,980.72, 102,096 and 42,154.56

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Solution

The fourth proportional to 73,980.72, 102,096 and 42,154.56 is: 58,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,980.72 : 102,096 = 42,154.56 : x
  2. Step 2: Convert to fraction form
    73,980.72/102,096 = 42,154.56/x
  3. Step 3: Cross multiply
    73,980.72x = 102,096 × 42,154.56
  4. Step 4: Simplify right side
    73,980.72x = 4,303,811,957.76
  5. Step 5: Solve for x
    x = 4,303,811,957.76/73,980.72
  6. Step 6: Final answer
    x = 58,174.78

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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.