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Finding the Fourth Proportional to 96,495.84, 144,690.30 and 33,281.82

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Solution

The fourth proportional to 96,495.84, 144,690.30 and 33,281.82 is: 49,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,495.84 : 144,690.30 = 33,281.82 : x
  2. Step 2: Convert to fraction form
    96,495.84/144,690.30 = 33,281.82/x
  3. Step 3: Cross multiply
    96,495.84x = 144,690.30 × 33,281.82
  4. Step 4: Simplify right side
    96,495.84x = 4,815,556,520.35
  5. Step 5: Solve for x
    x = 4,815,556,520.35/96,495.84
  6. Step 6: Final answer
    x = 49,904.29

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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.