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Finding the Fourth Proportional to 100,026.84, 150,114 and 47,436.48

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Solution

The fourth proportional to 100,026.84, 150,114 and 47,436.48 is: 71,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,026.84 : 150,114 = 47,436.48 : x
  2. Step 2: Convert to fraction form
    100,026.84/150,114 = 47,436.48/x
  3. Step 3: Cross multiply
    100,026.84x = 150,114 × 47,436.48
  4. Step 4: Simplify right side
    100,026.84x = 7,120,879,758.72
  5. Step 5: Solve for x
    x = 7,120,879,758.72/100,026.84
  6. Step 6: Final answer
    x = 71,189.69

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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.