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Finding the Fourth Proportional to 73,932.68, 102,015.30 and 42,102.20

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Solution

The fourth proportional to 73,932.68, 102,015.30 and 42,102.20 is: 58,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,932.68 : 102,015.30 = 42,102.20 : x
  2. Step 2: Convert to fraction form
    73,932.68/102,015.30 = 42,102.20/x
  3. Step 3: Cross multiply
    73,932.68x = 102,015.30 × 42,102.20
  4. Step 4: Simplify right side
    73,932.68x = 4,295,068,563.66
  5. Step 5: Solve for x
    x = 4,295,068,563.66/73,932.68
  6. Step 6: Final answer
    x = 58,094.32

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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.