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Finding the Fourth Proportional to 100,422.84, 150,635.42 and 30,302.76

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Solution

The fourth proportional to 100,422.84, 150,635.42 and 30,302.76 is: 45,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.84 : 150,635.42 = 30,302.76 : x
  2. Step 2: Convert to fraction form
    100,422.84/150,635.42 = 30,302.76/x
  3. Step 3: Cross multiply
    100,422.84x = 150,635.42 × 30,302.76
  4. Step 4: Simplify right side
    100,422.84x = 4,564,668,979.76
  5. Step 5: Solve for x
    x = 4,564,668,979.76/100,422.84
  6. Step 6: Final answer
    x = 45,454.49

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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.