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Finding the Fourth Proportional to 96,638.47, 144,967.61 and 33,458.49

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Solution

The fourth proportional to 96,638.47, 144,967.61 and 33,458.49 is: 50,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,638.47 : 144,967.61 = 33,458.49 : x
  2. Step 2: Convert to fraction form
    96,638.47/144,967.61 = 33,458.49/x
  3. Step 3: Cross multiply
    96,638.47x = 144,967.61 × 33,458.49
  4. Step 4: Simplify right side
    96,638.47x = 4,850,397,329.51
  5. Step 5: Solve for x
    x = 4,850,397,329.51/96,638.47
  6. Step 6: Final answer
    x = 50,191.16

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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.