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Finding the Fourth Proportional to 92,313.16, 127,391.94 and 49,871.56

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Solution

The fourth proportional to 92,313.16, 127,391.94 and 49,871.56 is: 68,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,313.16 : 127,391.94 = 49,871.56 : x
  2. Step 2: Convert to fraction form
    92,313.16/127,391.94 = 49,871.56/x
  3. Step 3: Cross multiply
    92,313.16x = 127,391.94 × 49,871.56
  4. Step 4: Simplify right side
    92,313.16x = 6,353,234,779.23
  5. Step 5: Solve for x
    x = 6,353,234,779.23/92,313.16
  6. Step 6: Final answer
    x = 68,822.63

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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.