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Finding the Fourth Proportional to 73,133, 109,734.28 and 50,678.24

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Solution

The fourth proportional to 73,133, 109,734.28 and 50,678.24 is: 76,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,133 : 109,734.28 = 50,678.24 : x
  2. Step 2: Convert to fraction form
    73,133/109,734.28 = 50,678.24/x
  3. Step 3: Cross multiply
    73,133x = 109,734.28 × 50,678.24
  4. Step 4: Simplify right side
    73,133x = 5,561,140,178.07
  5. Step 5: Solve for x
    x = 5,561,140,178.07/73,133
  6. Step 6: Final answer
    x = 76,041.46

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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.