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Finding the Fourth Proportional to 125,846.48, 188,765.40 and 37,096.40

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Solution

The fourth proportional to 125,846.48, 188,765.40 and 37,096.40 is: 55,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,846.48 : 188,765.40 = 37,096.40 : x
  2. Step 2: Convert to fraction form
    125,846.48/188,765.40 = 37,096.40/x
  3. Step 3: Cross multiply
    125,846.48x = 188,765.40 × 37,096.40
  4. Step 4: Simplify right side
    125,846.48x = 7,002,516,784.56
  5. Step 5: Solve for x
    x = 7,002,516,784.56/125,846.48
  6. Step 6: Final answer
    x = 55,643.33

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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.