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Finding the Fourth Proportional to 73,185.12, 109,755.84 and 31,064.64

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Solution

The fourth proportional to 73,185.12, 109,755.84 and 31,064.64 is: 46,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,185.12 : 109,755.84 = 31,064.64 : x
  2. Step 2: Convert to fraction form
    73,185.12/109,755.84 = 31,064.64/x
  3. Step 3: Cross multiply
    73,185.12x = 109,755.84 × 31,064.64
  4. Step 4: Simplify right side
    73,185.12x = 3,409,525,657.50
  5. Step 5: Solve for x
    x = 3,409,525,657.50/73,185.12
  6. Step 6: Final answer
    x = 46,587.69

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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.