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Finding the Fourth Proportional to 100,062.96, 150,094.43 and 47,443.74

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Solution

The fourth proportional to 100,062.96, 150,094.43 and 47,443.74 is: 71,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062.96 : 150,094.43 = 47,443.74 : x
  2. Step 2: Convert to fraction form
    100,062.96/150,094.43 = 47,443.74/x
  3. Step 3: Cross multiply
    100,062.96x = 150,094.43 × 47,443.74
  4. Step 4: Simplify right side
    100,062.96x = 7,121,040,875.15
  5. Step 5: Solve for x
    x = 7,121,040,875.15/100,062.96
  6. Step 6: Final answer
    x = 71,165.60

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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.