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Finding the Fourth Proportional to 98,891.44, 148,320.75 and 35,699.44

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Solution

The fourth proportional to 98,891.44, 148,320.75 and 35,699.44 is: 53,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,891.44 : 148,320.75 = 35,699.44 : x
  2. Step 2: Convert to fraction form
    98,891.44/148,320.75 = 35,699.44/x
  3. Step 3: Cross multiply
    98,891.44x = 148,320.75 × 35,699.44
  4. Step 4: Simplify right side
    98,891.44x = 5,294,967,715.38
  5. Step 5: Solve for x
    x = 5,294,967,715.38/98,891.44
  6. Step 6: Final answer
    x = 53,543.24

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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.