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Finding the Fourth Proportional to 96,021.40, 144,032.10 and 33,698.20

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Solution

The fourth proportional to 96,021.40, 144,032.10 and 33,698.20 is: 50,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,021.40 : 144,032.10 = 33,698.20 : x
  2. Step 2: Convert to fraction form
    96,021.40/144,032.10 = 33,698.20/x
  3. Step 3: Cross multiply
    96,021.40x = 144,032.10 × 33,698.20
  4. Step 4: Simplify right side
    96,021.40x = 4,853,622,512.22
  5. Step 5: Solve for x
    x = 4,853,622,512.22/96,021.40
  6. Step 6: Final answer
    x = 50,547.30

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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.