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Finding the Fourth Proportional to 96,504.93, 144,729.72 and 33,308.64

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Solution

The fourth proportional to 96,504.93, 144,729.72 and 33,308.64 is: 49,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,504.93 : 144,729.72 = 33,308.64 : x
  2. Step 2: Convert to fraction form
    96,504.93/144,729.72 = 33,308.64/x
  3. Step 3: Cross multiply
    96,504.93x = 144,729.72 × 33,308.64
  4. Step 4: Simplify right side
    96,504.93x = 4,820,750,140.78
  5. Step 5: Solve for x
    x = 4,820,750,140.78/96,504.93
  6. Step 6: Final answer
    x = 49,953.41

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Why These Related Problems?

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