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Finding the Fourth Proportional to 44,106, 66,160.08 and 11,274

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Solution

The fourth proportional to 44,106, 66,160.08 and 11,274 is: 16,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,106 : 66,160.08 = 11,274 : x
  2. Step 2: Convert to fraction form
    44,106/66,160.08 = 11,274/x
  3. Step 3: Cross multiply
    44,106x = 66,160.08 × 11,274
  4. Step 4: Simplify right side
    44,106x = 745,888,741.92
  5. Step 5: Solve for x
    x = 745,888,741.92/44,106
  6. Step 6: Final answer
    x = 16,911.28

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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.