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Finding the Fourth Proportional to 73,165.13, 109,745.16 and 31,018.06

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Solution

The fourth proportional to 73,165.13, 109,745.16 and 31,018.06 is: 46,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.13 : 109,745.16 = 31,018.06 : x
  2. Step 2: Convert to fraction form
    73,165.13/109,745.16 = 31,018.06/x
  3. Step 3: Cross multiply
    73,165.13x = 109,745.16 × 31,018.06
  4. Step 4: Simplify right side
    73,165.13x = 3,404,081,957.59
  5. Step 5: Solve for x
    x = 3,404,081,957.59/73,165.13
  6. Step 6: Final answer
    x = 46,526.02

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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.