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Finding the Fourth Proportional to 74,171.50, 102,361.02 and 42,350.38

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Solution

The fourth proportional to 74,171.50, 102,361.02 and 42,350.38 is: 58,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,171.50 : 102,361.02 = 42,350.38 : x
  2. Step 2: Convert to fraction form
    74,171.50/102,361.02 = 42,350.38/x
  3. Step 3: Cross multiply
    74,171.50x = 102,361.02 × 42,350.38
  4. Step 4: Simplify right side
    74,171.50x = 4,335,028,094.19
  5. Step 5: Solve for x
    x = 4,335,028,094.19/74,171.50
  6. Step 6: Final answer
    x = 58,446.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.