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Finding the Fourth Proportional to 98,090.40, 147,136.96 and 27,969.71

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Solution

The fourth proportional to 98,090.40, 147,136.96 and 27,969.71 is: 41,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,090.40 : 147,136.96 = 27,969.71 : x
  2. Step 2: Convert to fraction form
    98,090.40/147,136.96 = 27,969.71/x
  3. Step 3: Cross multiply
    98,090.40x = 147,136.96 × 27,969.71
  4. Step 4: Simplify right side
    98,090.40x = 4,115,377,295.87
  5. Step 5: Solve for x
    x = 4,115,377,295.87/98,090.40
  6. Step 6: Final answer
    x = 41,954.94

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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.