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Finding the Fourth Proportional to 43,782.58, 65,698.17 and 17,488.90

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Solution

The fourth proportional to 43,782.58, 65,698.17 and 17,488.90 is: 26,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782.58 : 65,698.17 = 17,488.90 : x
  2. Step 2: Convert to fraction form
    43,782.58/65,698.17 = 17,488.90/x
  3. Step 3: Cross multiply
    43,782.58x = 65,698.17 × 17,488.90
  4. Step 4: Simplify right side
    43,782.58x = 1,148,988,725.31
  5. Step 5: Solve for x
    x = 1,148,988,725.31/43,782.58
  6. Step 6: Final answer
    x = 26,243.06

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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.