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Finding the Fourth Proportional to 98,833.97, 136,382.58 and 57,993.80

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Solution

The fourth proportional to 98,833.97, 136,382.58 and 57,993.80 is: 80,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,833.97 : 136,382.58 = 57,993.80 : x
  2. Step 2: Convert to fraction form
    98,833.97/136,382.58 = 57,993.80/x
  3. Step 3: Cross multiply
    98,833.97x = 136,382.58 × 57,993.80
  4. Step 4: Simplify right side
    98,833.97x = 7,909,343,386.09
  5. Step 5: Solve for x
    x = 7,909,343,386.09/98,833.97
  6. Step 6: Final answer
    x = 80,026.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.