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Finding the Fourth Proportional to 32,513, 44,867.94 and 17,609

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Solution

The fourth proportional to 32,513, 44,867.94 and 17,609 is: 24,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513 : 44,867.94 = 17,609 : x
  2. Step 2: Convert to fraction form
    32,513/44,867.94 = 17,609/x
  3. Step 3: Cross multiply
    32,513x = 44,867.94 × 17,609
  4. Step 4: Simplify right side
    32,513x = 790,079,555.46
  5. Step 5: Solve for x
    x = 790,079,555.46/32,513
  6. Step 6: Final answer
    x = 24,300.42

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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.