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Finding the Fourth Proportional to 100,581.92, 150,901.14 and 29,506.26

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Solution

The fourth proportional to 100,581.92, 150,901.14 and 29,506.26 is: 44,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.92 : 150,901.14 = 29,506.26 : x
  2. Step 2: Convert to fraction form
    100,581.92/150,901.14 = 29,506.26/x
  3. Step 3: Cross multiply
    100,581.92x = 150,901.14 × 29,506.26
  4. Step 4: Simplify right side
    100,581.92x = 4,452,528,271.14
  5. Step 5: Solve for x
    x = 4,452,528,271.14/100,581.92
  6. Step 6: Final answer
    x = 44,267.68

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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.