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Finding the Fourth Proportional to 85,219.65, 117,596.16 and 49,411.96

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Solution

The fourth proportional to 85,219.65, 117,596.16 and 49,411.96 is: 68,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,219.65 : 117,596.16 = 49,411.96 : x
  2. Step 2: Convert to fraction form
    85,219.65/117,596.16 = 49,411.96/x
  3. Step 3: Cross multiply
    85,219.65x = 117,596.16 × 49,411.96
  4. Step 4: Simplify right side
    85,219.65x = 5,810,656,754.07
  5. Step 5: Solve for x
    x = 5,810,656,754.07/85,219.65
  6. Step 6: Final answer
    x = 68,184.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.