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Finding the Fourth Proportional to 96,062, 144,093.81 and 33,732.50

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Solution

The fourth proportional to 96,062, 144,093.81 and 33,732.50 is: 50,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,062 : 144,093.81 = 33,732.50 : x
  2. Step 2: Convert to fraction form
    96,062/144,093.81 = 33,732.50/x
  3. Step 3: Cross multiply
    96,062x = 144,093.81 × 33,732.50
  4. Step 4: Simplify right side
    96,062x = 4,860,644,445.83
  5. Step 5: Solve for x
    x = 4,860,644,445.83/96,062
  6. Step 6: Final answer
    x = 50,599.03

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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.