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Finding the Fourth Proportional to 133,029.63, 199,539.57 and 39,532.95

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Solution

The fourth proportional to 133,029.63, 199,539.57 and 39,532.95 is: 59,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,029.63 : 199,539.57 = 39,532.95 : x
  2. Step 2: Convert to fraction form
    133,029.63/199,539.57 = 39,532.95/x
  3. Step 3: Cross multiply
    133,029.63x = 199,539.57 × 39,532.95
  4. Step 4: Simplify right side
    133,029.63x = 7,888,387,843.83
  5. Step 5: Solve for x
    x = 7,888,387,843.83/133,029.63
  6. Step 6: Final answer
    x = 59,297.98

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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.