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Finding the Fourth Proportional to 99,393.40, 149,090.46 and 37,063

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Solution

The fourth proportional to 99,393.40, 149,090.46 and 37,063 is: 55,594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,393.40 : 149,090.46 = 37,063 : x
  2. Step 2: Convert to fraction form
    99,393.40/149,090.46 = 37,063/x
  3. Step 3: Cross multiply
    99,393.40x = 149,090.46 × 37,063
  4. Step 4: Simplify right side
    99,393.40x = 5,525,739,718.98
  5. Step 5: Solve for x
    x = 5,525,739,718.98/99,393.40
  6. Step 6: Final answer
    x = 55,594.63

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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.