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Finding the Fourth Proportional to 73,114.04, 109,654.64 and 33,633.20

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Solution

The fourth proportional to 73,114.04, 109,654.64 and 33,633.20 is: 50,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.04 : 109,654.64 = 33,633.20 : x
  2. Step 2: Convert to fraction form
    73,114.04/109,654.64 = 33,633.20/x
  3. Step 3: Cross multiply
    73,114.04x = 109,654.64 × 33,633.20
  4. Step 4: Simplify right side
    73,114.04x = 3,688,036,438.05
  5. Step 5: Solve for x
    x = 3,688,036,438.05/73,114.04
  6. Step 6: Final answer
    x = 50,442.25

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Why These Related Problems?

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