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Finding the Fourth Proportional to 100,504.52, 150,758.02 and 25,624.64

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Solution

The fourth proportional to 100,504.52, 150,758.02 and 25,624.64 is: 38,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,504.52 : 150,758.02 = 25,624.64 : x
  2. Step 2: Convert to fraction form
    100,504.52/150,758.02 = 25,624.64/x
  3. Step 3: Cross multiply
    100,504.52x = 150,758.02 × 25,624.64
  4. Step 4: Simplify right side
    100,504.52x = 3,863,119,989.61
  5. Step 5: Solve for x
    x = 3,863,119,989.61/100,504.52
  6. Step 6: Final answer
    x = 38,437.28

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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.