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Finding the Fourth Proportional to 100,002.76, 150,077.96 and 47,412.44

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Solution

The fourth proportional to 100,002.76, 150,077.96 and 47,412.44 is: 71,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,002.76 : 150,077.96 = 47,412.44 : x
  2. Step 2: Convert to fraction form
    100,002.76/150,077.96 = 47,412.44/x
  3. Step 3: Cross multiply
    100,002.76x = 150,077.96 × 47,412.44
  4. Step 4: Simplify right side
    100,002.76x = 7,115,562,273.82
  5. Step 5: Solve for x
    x = 7,115,562,273.82/100,002.76
  6. Step 6: Final answer
    x = 71,153.66

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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.