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Finding the Fourth Proportional to 96,827.63, 145,264.80 and 33,638.55

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Solution

The fourth proportional to 96,827.63, 145,264.80 and 33,638.55 is: 50,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,827.63 : 145,264.80 = 33,638.55 : x
  2. Step 2: Convert to fraction form
    96,827.63/145,264.80 = 33,638.55/x
  3. Step 3: Cross multiply
    96,827.63x = 145,264.80 × 33,638.55
  4. Step 4: Simplify right side
    96,827.63x = 4,886,497,238.04
  5. Step 5: Solve for x
    x = 4,886,497,238.04/96,827.63
  6. Step 6: Final answer
    x = 50,465.94

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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.