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Finding the Fourth Proportional to 107,164.70, 160,646.47 and 36,037.60

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Solution

The fourth proportional to 107,164.70, 160,646.47 and 36,037.60 is: 54,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,164.70 : 160,646.47 = 36,037.60 : x
  2. Step 2: Convert to fraction form
    107,164.70/160,646.47 = 36,037.60/x
  3. Step 3: Cross multiply
    107,164.70x = 160,646.47 × 36,037.60
  4. Step 4: Simplify right side
    107,164.70x = 5,789,313,047.08
  5. Step 5: Solve for x
    x = 5,789,313,047.08/107,164.70
  6. Step 6: Final answer
    x = 54,022.58

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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.