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Finding the Fourth Proportional to 92,312.80, 127,391.78 and 49,871.33

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Solution

The fourth proportional to 92,312.80, 127,391.78 and 49,871.33 is: 68,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,312.80 : 127,391.78 = 49,871.33 : x
  2. Step 2: Convert to fraction form
    92,312.80/127,391.78 = 49,871.33/x
  3. Step 3: Cross multiply
    92,312.80x = 127,391.78 × 49,871.33
  4. Step 4: Simplify right side
    92,312.80x = 6,353,197,499.67
  5. Step 5: Solve for x
    x = 6,353,197,499.67/92,312.80
  6. Step 6: Final answer
    x = 68,822.50

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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.