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Finding the Fourth Proportional to 82,940.70, 114,446.64 and 48,950.61

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Solution

The fourth proportional to 82,940.70, 114,446.64 and 48,950.61 is: 67,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.70 : 114,446.64 = 48,950.61 : x
  2. Step 2: Convert to fraction form
    82,940.70/114,446.64 = 48,950.61/x
  3. Step 3: Cross multiply
    82,940.70x = 114,446.64 × 48,950.61
  4. Step 4: Simplify right side
    82,940.70x = 5,602,232,840.45
  5. Step 5: Solve for x
    x = 5,602,232,840.45/82,940.70
  6. Step 6: Final answer
    x = 67,545.04

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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.