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Finding the Fourth Proportional to 92,106.20, 127,106.40 and 51,819.98

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Solution

The fourth proportional to 92,106.20, 127,106.40 and 51,819.98 is: 71,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106.20 : 127,106.40 = 51,819.98 : x
  2. Step 2: Convert to fraction form
    92,106.20/127,106.40 = 51,819.98/x
  3. Step 3: Cross multiply
    92,106.20x = 127,106.40 × 51,819.98
  4. Step 4: Simplify right side
    92,106.20x = 6,586,651,105.87
  5. Step 5: Solve for x
    x = 6,586,651,105.87/92,106.20
  6. Step 6: Final answer
    x = 71,511.48

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1.5x scale

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.