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Finding the Fourth Proportional to 98,406.39, 147,573.31 and 35,209.38

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Solution

The fourth proportional to 98,406.39, 147,573.31 and 35,209.38 is: 52,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406.39 : 147,573.31 = 35,209.38 : x
  2. Step 2: Convert to fraction form
    98,406.39/147,573.31 = 35,209.38/x
  3. Step 3: Cross multiply
    98,406.39x = 147,573.31 × 35,209.38
  4. Step 4: Simplify right side
    98,406.39x = 5,195,964,749.65
  5. Step 5: Solve for x
    x = 5,195,964,749.65/98,406.39
  6. Step 6: Final answer
    x = 52,801.09

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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.