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Finding the Fourth Proportional to 32,558, 44,930.06 and 17,654

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Solution

The fourth proportional to 32,558, 44,930.06 and 17,654 is: 24,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,558 : 44,930.06 = 17,654 : x
  2. Step 2: Convert to fraction form
    32,558/44,930.06 = 17,654/x
  3. Step 3: Cross multiply
    32,558x = 44,930.06 × 17,654
  4. Step 4: Simplify right side
    32,558x = 793,195,279.24
  5. Step 5: Solve for x
    x = 793,195,279.24/32,558
  6. Step 6: Final answer
    x = 24,362.53

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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.