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Finding the Fourth Proportional to 73,165.98, 109,746.50 and 31,018.96

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Solution

The fourth proportional to 73,165.98, 109,746.50 and 31,018.96 is: 46,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.98 : 109,746.50 = 31,018.96 : x
  2. Step 2: Convert to fraction form
    73,165.98/109,746.50 = 31,018.96/x
  3. Step 3: Cross multiply
    73,165.98x = 109,746.50 × 31,018.96
  4. Step 4: Simplify right side
    73,165.98x = 3,404,222,293.64
  5. Step 5: Solve for x
    x = 3,404,222,293.64/73,165.98
  6. Step 6: Final answer
    x = 46,527.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.