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Finding the Fourth Proportional to 30,641.52, 45,917.73 and 16,589.64

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Solution

The fourth proportional to 30,641.52, 45,917.73 and 16,589.64 is: 24,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.52 : 45,917.73 = 16,589.64 : x
  2. Step 2: Convert to fraction form
    30,641.52/45,917.73 = 16,589.64/x
  3. Step 3: Cross multiply
    30,641.52x = 45,917.73 × 16,589.64
  4. Step 4: Simplify right side
    30,641.52x = 761,758,610.32
  5. Step 5: Solve for x
    x = 761,758,610.32/30,641.52
  6. Step 6: Final answer
    x = 24,860.34

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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.