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Finding the Fourth Proportional to 98,329.77, 147,456.96 and 35,138.01

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Solution

The fourth proportional to 98,329.77, 147,456.96 and 35,138.01 is: 52,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,329.77 : 147,456.96 = 35,138.01 : x
  2. Step 2: Convert to fraction form
    98,329.77/147,456.96 = 35,138.01/x
  3. Step 3: Cross multiply
    98,329.77x = 147,456.96 × 35,138.01
  4. Step 4: Simplify right side
    98,329.77x = 5,181,344,135.05
  5. Step 5: Solve for x
    x = 5,181,344,135.05/98,329.77
  6. Step 6: Final answer
    x = 52,693.54

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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.