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Finding the Fourth Proportional to 98,418.25, 147,650.79 and 31,858.39

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Solution

The fourth proportional to 98,418.25, 147,650.79 and 31,858.39 is: 47,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,418.25 : 147,650.79 = 31,858.39 : x
  2. Step 2: Convert to fraction form
    98,418.25/147,650.79 = 31,858.39/x
  3. Step 3: Cross multiply
    98,418.25x = 147,650.79 × 31,858.39
  4. Step 4: Simplify right side
    98,418.25x = 4,703,916,451.63
  5. Step 5: Solve for x
    x = 4,703,916,451.63/98,418.25
  6. Step 6: Final answer
    x = 47,795.16

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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.