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Finding the Fourth Proportional to 92,321.46, 127,403.70 and 49,880.07

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Solution

The fourth proportional to 92,321.46, 127,403.70 and 49,880.07 is: 68,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,321.46 : 127,403.70 = 49,880.07 : x
  2. Step 2: Convert to fraction form
    92,321.46/127,403.70 = 49,880.07/x
  3. Step 3: Cross multiply
    92,321.46x = 127,403.70 × 49,880.07
  4. Step 4: Simplify right side
    92,321.46x = 6,354,905,474.26
  5. Step 5: Solve for x
    x = 6,354,905,474.26/92,321.46
  6. Step 6: Final answer
    x = 68,834.54

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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.