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Finding the Fourth Proportional to 73,729.70, 110,595.16 and 45,731.24

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Solution

The fourth proportional to 73,729.70, 110,595.16 and 45,731.24 is: 68,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,729.70 : 110,595.16 = 45,731.24 : x
  2. Step 2: Convert to fraction form
    73,729.70/110,595.16 = 45,731.24/x
  3. Step 3: Cross multiply
    73,729.70x = 110,595.16 × 45,731.24
  4. Step 4: Simplify right side
    73,729.70x = 5,057,653,804.80
  5. Step 5: Solve for x
    x = 5,057,653,804.80/73,729.70
  6. Step 6: Final answer
    x = 68,597.24

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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.