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Finding the Fourth Proportional to 73,676.15, 110,421.30 and 31,506.38

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Solution

The fourth proportional to 73,676.15, 110,421.30 and 31,506.38 is: 47,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,676.15 : 110,421.30 = 31,506.38 : x
  2. Step 2: Convert to fraction form
    73,676.15/110,421.30 = 31,506.38/x
  3. Step 3: Cross multiply
    73,676.15x = 110,421.30 × 31,506.38
  4. Step 4: Simplify right side
    73,676.15x = 3,478,975,437.89
  5. Step 5: Solve for x
    x = 3,478,975,437.89/73,676.15
  6. Step 6: Final answer
    x = 47,219.83

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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.