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Finding the Fourth Proportional to 96,641.22, 144,971.75 and 33,461.25

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Solution

The fourth proportional to 96,641.22, 144,971.75 and 33,461.25 is: 50,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,641.22 : 144,971.75 = 33,461.25 : x
  2. Step 2: Convert to fraction form
    96,641.22/144,971.75 = 33,461.25/x
  3. Step 3: Cross multiply
    96,641.22x = 144,971.75 × 33,461.25
  4. Step 4: Simplify right side
    96,641.22x = 4,850,935,802.38
  5. Step 5: Solve for x
    x = 4,850,935,802.38/96,641.22
  6. Step 6: Final answer
    x = 50,195.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.