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Finding the Fourth Proportional to 31,783.68, 43,862.99 and 17,636.63

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Solution

The fourth proportional to 31,783.68, 43,862.99 and 17,636.63 is: 24,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.68 : 43,862.99 = 17,636.63 : x
  2. Step 2: Convert to fraction form
    31,783.68/43,862.99 = 17,636.63/x
  3. Step 3: Cross multiply
    31,783.68x = 43,862.99 × 17,636.63
  4. Step 4: Simplify right side
    31,783.68x = 773,595,017.83
  5. Step 5: Solve for x
    x = 773,595,017.83/31,783.68
  6. Step 6: Final answer
    x = 24,339.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.