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Finding the Fourth Proportional to 98,032.20, 147,053.88 and 27,906

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Solution

The fourth proportional to 98,032.20, 147,053.88 and 27,906 is: 41,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,032.20 : 147,053.88 = 27,906 : x
  2. Step 2: Convert to fraction form
    98,032.20/147,053.88 = 27,906/x
  3. Step 3: Cross multiply
    98,032.20x = 147,053.88 × 27,906
  4. Step 4: Simplify right side
    98,032.20x = 4,103,685,575.28
  5. Step 5: Solve for x
    x = 4,103,685,575.28/98,032.20
  6. Step 6: Final answer
    x = 41,860.59

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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.