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Finding the Fourth Proportional to 110,735, 166,102.52 and 35,917.76

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Solution

The fourth proportional to 110,735, 166,102.52 and 35,917.76 is: 53,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,735 : 166,102.52 = 35,917.76 : x
  2. Step 2: Convert to fraction form
    110,735/166,102.52 = 35,917.76/x
  3. Step 3: Cross multiply
    110,735x = 166,102.52 × 35,917.76
  4. Step 4: Simplify right side
    110,735x = 5,966,030,448.76
  5. Step 5: Solve for x
    x = 5,966,030,448.76/110,735
  6. Step 6: Final answer
    x = 53,876.65

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1.5x scale

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.