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Finding the Fourth Proportional to 109,224.72, 163,900.80 and 46,041

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Solution

The fourth proportional to 109,224.72, 163,900.80 and 46,041 is: 69,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,224.72 : 163,900.80 = 46,041 : x
  2. Step 2: Convert to fraction form
    109,224.72/163,900.80 = 46,041/x
  3. Step 3: Cross multiply
    109,224.72x = 163,900.80 × 46,041
  4. Step 4: Simplify right side
    109,224.72x = 7,546,156,732.80
  5. Step 5: Solve for x
    x = 7,546,156,732.80/109,224.72
  6. Step 6: Final answer
    x = 69,088.36

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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.