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Finding the Fourth Proportional to 100,541.00, 150,581.84 and 47,987.39

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Solution

The fourth proportional to 100,541.00, 150,581.84 and 47,987.39 is: 71,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,541.00 : 150,581.84 = 47,987.39 : x
  2. Step 2: Convert to fraction form
    100,541.00/150,581.84 = 47,987.39/x
  3. Step 3: Cross multiply
    100,541.00x = 150,581.84 × 47,987.39
  4. Step 4: Simplify right side
    100,541.00x = 7,226,028,772.49
  5. Step 5: Solve for x
    x = 7,226,028,772.49/100,541.00
  6. Step 6: Final answer
    x = 71,871.47

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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.