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Finding the Fourth Proportional to 97,632.68, 146,449.01 and 35,288.60

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Solution

The fourth proportional to 97,632.68, 146,449.01 and 35,288.60 is: 52,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,632.68 : 146,449.01 = 35,288.60 : x
  2. Step 2: Convert to fraction form
    97,632.68/146,449.01 = 35,288.60/x
  3. Step 3: Cross multiply
    97,632.68x = 146,449.01 × 35,288.60
  4. Step 4: Simplify right side
    97,632.68x = 5,167,979,890.26
  5. Step 5: Solve for x
    x = 5,167,979,890.26/97,632.68
  6. Step 6: Final answer
    x = 52,932.89

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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.