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Finding the Fourth Proportional to 85,080.04, 127,616.18 and 31,767.86

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Solution

The fourth proportional to 85,080.04, 127,616.18 and 31,767.86 is: 47,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,080.04 : 127,616.18 = 31,767.86 : x
  2. Step 2: Convert to fraction form
    85,080.04/127,616.18 = 31,767.86/x
  3. Step 3: Cross multiply
    85,080.04x = 127,616.18 × 31,767.86
  4. Step 4: Simplify right side
    85,080.04x = 4,054,093,100.18
  5. Step 5: Solve for x
    x = 4,054,093,100.18/85,080.04
  6. Step 6: Final answer
    x = 47,650.34

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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.