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Finding the Fourth Proportional to 100,585.56, 150,878.54 and 37,419.54

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Solution

The fourth proportional to 100,585.56, 150,878.54 and 37,419.54 is: 56,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,585.56 : 150,878.54 = 37,419.54 : x
  2. Step 2: Convert to fraction form
    100,585.56/150,878.54 = 37,419.54/x
  3. Step 3: Cross multiply
    100,585.56x = 150,878.54 × 37,419.54
  4. Step 4: Simplify right side
    100,585.56x = 5,645,805,562.67
  5. Step 5: Solve for x
    x = 5,645,805,562.67/100,585.56
  6. Step 6: Final answer
    x = 56,129.38

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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.