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Finding the Fourth Proportional to 100,612.56, 150,688.76 and 48,058.96

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Solution

The fourth proportional to 100,612.56, 150,688.76 and 48,058.96 is: 71,978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,612.56 : 150,688.76 = 48,058.96 : x
  2. Step 2: Convert to fraction form
    100,612.56/150,688.76 = 48,058.96/x
  3. Step 3: Cross multiply
    100,612.56x = 150,688.76 × 48,058.96
  4. Step 4: Simplify right side
    100,612.56x = 7,241,945,089.29
  5. Step 5: Solve for x
    x = 7,241,945,089.29/100,612.56
  6. Step 6: Final answer
    x = 71,978.54

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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.