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Finding the Fourth Proportional to 98,891.31, 148,320.57 and 35,699.33

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Solution

The fourth proportional to 98,891.31, 148,320.57 and 35,699.33 is: 53,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,891.31 : 148,320.57 = 35,699.33 : x
  2. Step 2: Convert to fraction form
    98,891.31/148,320.57 = 35,699.33/x
  3. Step 3: Cross multiply
    98,891.31x = 148,320.57 × 35,699.33
  4. Step 4: Simplify right side
    98,891.31x = 5,294,944,232.62
  5. Step 5: Solve for x
    x = 5,294,944,232.62/98,891.31
  6. Step 6: Final answer
    x = 53,543.07

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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.