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Finding the Fourth Proportional to 73,181.91, 109,948.01 and 46,937.91

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Solution

The fourth proportional to 73,181.91, 109,948.01 and 46,937.91 is: 70,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,181.91 : 109,948.01 = 46,937.91 : x
  2. Step 2: Convert to fraction form
    73,181.91/109,948.01 = 46,937.91/x
  3. Step 3: Cross multiply
    73,181.91x = 109,948.01 × 46,937.91
  4. Step 4: Simplify right side
    73,181.91x = 5,160,729,563.37
  5. Step 5: Solve for x
    x = 5,160,729,563.37/73,181.91
  6. Step 6: Final answer
    x = 70,519.20

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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.