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Finding the Fourth Proportional to 107,478.72, 161,187.84 and 37,356.48

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Solution

The fourth proportional to 107,478.72, 161,187.84 and 37,356.48 is: 56,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,478.72 : 161,187.84 = 37,356.48 : x
  2. Step 2: Convert to fraction form
    107,478.72/161,187.84 = 37,356.48/x
  3. Step 3: Cross multiply
    107,478.72x = 161,187.84 × 37,356.48
  4. Step 4: Simplify right side
    107,478.72x = 6,021,410,321.20
  5. Step 5: Solve for x
    x = 6,021,410,321.20/107,478.72
  6. Step 6: Final answer
    x = 56,024.21

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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.