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Finding the Fourth Proportional to 32,813, 45,283.04 and 17,909

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Solution

The fourth proportional to 32,813, 45,283.04 and 17,909 is: 24,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813 : 45,283.04 = 17,909 : x
  2. Step 2: Convert to fraction form
    32,813/45,283.04 = 17,909/x
  3. Step 3: Cross multiply
    32,813x = 45,283.04 × 17,909
  4. Step 4: Simplify right side
    32,813x = 810,973,963.36
  5. Step 5: Solve for x
    x = 810,973,963.36/32,813
  6. Step 6: Final answer
    x = 24,715.02

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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.