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Finding the Fourth Proportional to 73,165.09, 109,745.19 and 31,018.06

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Solution

The fourth proportional to 73,165.09, 109,745.19 and 31,018.06 is: 46,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.09 : 109,745.19 = 31,018.06 : x
  2. Step 2: Convert to fraction form
    73,165.09/109,745.19 = 31,018.06/x
  3. Step 3: Cross multiply
    73,165.09x = 109,745.19 × 31,018.06
  4. Step 4: Simplify right side
    73,165.09x = 3,404,082,888.13
  5. Step 5: Solve for x
    x = 3,404,082,888.13/73,165.09
  6. Step 6: Final answer
    x = 46,526.05

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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.