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Finding the Fourth Proportional to 76,362.07, 113,923.07 and 72,228.64

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Solution

The fourth proportional to 76,362.07, 113,923.07 and 72,228.64 is: 107,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362.07 : 113,923.07 = 72,228.64 : x
  2. Step 2: Convert to fraction form
    76,362.07/113,923.07 = 72,228.64/x
  3. Step 3: Cross multiply
    76,362.07x = 113,923.07 × 72,228.64
  4. Step 4: Simplify right side
    76,362.07x = 8,228,508,410.72
  5. Step 5: Solve for x
    x = 8,228,508,410.72/76,362.07
  6. Step 6: Final answer
    x = 107,756.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.