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Finding the Fourth Proportional to 100,313.82, 150,434.88 and 46,996.74

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Solution

The fourth proportional to 100,313.82, 150,434.88 and 46,996.74 is: 70,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,313.82 : 150,434.88 = 46,996.74 : x
  2. Step 2: Convert to fraction form
    100,313.82/150,434.88 = 46,996.74/x
  3. Step 3: Cross multiply
    100,313.82x = 150,434.88 × 46,996.74
  4. Step 4: Simplify right side
    100,313.82x = 7,069,948,942.29
  5. Step 5: Solve for x
    x = 7,069,948,942.29/100,313.82
  6. Step 6: Final answer
    x = 70,478.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.