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Finding the Fourth Proportional to 100,366.08, 150,549.12 and 34,656

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Solution

The fourth proportional to 100,366.08, 150,549.12 and 34,656 is: 51,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366.08 : 150,549.12 = 34,656 : x
  2. Step 2: Convert to fraction form
    100,366.08/150,549.12 = 34,656/x
  3. Step 3: Cross multiply
    100,366.08x = 150,549.12 × 34,656
  4. Step 4: Simplify right side
    100,366.08x = 5,217,430,302.72
  5. Step 5: Solve for x
    x = 5,217,430,302.72/100,366.08
  6. Step 6: Final answer
    x = 51,984

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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.