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Finding the Fourth Proportional to 74,148, 111,226.74 and 29,768.88

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Solution

The fourth proportional to 74,148, 111,226.74 and 29,768.88 is: 44,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,148 : 111,226.74 = 29,768.88 : x
  2. Step 2: Convert to fraction form
    74,148/111,226.74 = 29,768.88/x
  3. Step 3: Cross multiply
    74,148x = 111,226.74 × 29,768.88
  4. Step 4: Simplify right side
    74,148x = 3,311,095,475.85
  5. Step 5: Solve for x
    x = 3,311,095,475.85/74,148
  6. Step 6: Final answer
    x = 44,655.22

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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.