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Finding the Fourth Proportional to 32,565, 44,939.76 and 17,661

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Solution

The fourth proportional to 32,565, 44,939.76 and 17,661 is: 24,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565 : 44,939.76 = 17,661 : x
  2. Step 2: Convert to fraction form
    32,565/44,939.76 = 17,661/x
  3. Step 3: Cross multiply
    32,565x = 44,939.76 × 17,661
  4. Step 4: Simplify right side
    32,565x = 793,681,101.36
  5. Step 5: Solve for x
    x = 793,681,101.36/32,565
  6. Step 6: Final answer
    x = 24,372.21

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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.