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Finding the Fourth Proportional to 49,982.90, 74,978.21 and 16,703.08

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Solution

The fourth proportional to 49,982.90, 74,978.21 and 16,703.08 is: 25,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,982.90 : 74,978.21 = 16,703.08 : x
  2. Step 2: Convert to fraction form
    49,982.90/74,978.21 = 16,703.08/x
  3. Step 3: Cross multiply
    49,982.90x = 74,978.21 × 16,703.08
  4. Step 4: Simplify right side
    49,982.90x = 1,252,367,039.89
  5. Step 5: Solve for x
    x = 1,252,367,039.89/49,982.90
  6. Step 6: Final answer
    x = 25,055.91

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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.