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Finding the Fourth Proportional to 76,471.62, 105,516.81 and 46,252.68

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Solution

The fourth proportional to 76,471.62, 105,516.81 and 46,252.68 is: 63,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.62 : 105,516.81 = 46,252.68 : x
  2. Step 2: Convert to fraction form
    76,471.62/105,516.81 = 46,252.68/x
  3. Step 3: Cross multiply
    76,471.62x = 105,516.81 × 46,252.68
  4. Step 4: Simplify right side
    76,471.62x = 4,880,435,247.55
  5. Step 5: Solve for x
    x = 4,880,435,247.55/76,471.62
  6. Step 6: Final answer
    x = 63,820.22

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Why These Related Problems?

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