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Finding the Fourth Proportional to 98,089.29, 147,135.29 and 27,968.59

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Solution

The fourth proportional to 98,089.29, 147,135.29 and 27,968.59 is: 41,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,089.29 : 147,135.29 = 27,968.59 : x
  2. Step 2: Convert to fraction form
    98,089.29/147,135.29 = 27,968.59/x
  3. Step 3: Cross multiply
    98,089.29x = 147,135.29 × 27,968.59
  4. Step 4: Simplify right side
    98,089.29x = 4,115,166,600.54
  5. Step 5: Solve for x
    x = 4,115,166,600.54/98,089.29
  6. Step 6: Final answer
    x = 41,953.27

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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.