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Finding the Fourth Proportional to 98,024.56, 146,799.99 and 55,776.64

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Solution

The fourth proportional to 98,024.56, 146,799.99 and 55,776.64 is: 83,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,024.56 : 146,799.99 = 55,776.64 : x
  2. Step 2: Convert to fraction form
    98,024.56/146,799.99 = 55,776.64/x
  3. Step 3: Cross multiply
    98,024.56x = 146,799.99 × 55,776.64
  4. Step 4: Simplify right side
    98,024.56x = 8,188,010,194.23
  5. Step 5: Solve for x
    x = 8,188,010,194.23/98,024.56
  6. Step 6: Final answer
    x = 83,530.19

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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.