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Finding the Fourth Proportional to 92,633.76, 127,834.20 and 50,192.46

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Solution

The fourth proportional to 92,633.76, 127,834.20 and 50,192.46 is: 69,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,633.76 : 127,834.20 = 50,192.46 : x
  2. Step 2: Convert to fraction form
    92,633.76/127,834.20 = 50,192.46/x
  3. Step 3: Cross multiply
    92,633.76x = 127,834.20 × 50,192.46
  4. Step 4: Simplify right side
    92,633.76x = 6,416,312,970.13
  5. Step 5: Solve for x
    x = 6,416,312,970.13/92,633.76
  6. Step 6: Final answer
    x = 69,265.38

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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.