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Finding the Fourth Proportional to 32,462, 44,797.60 and 17,558

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Solution

The fourth proportional to 32,462, 44,797.60 and 17,558 is: 24,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462 : 44,797.60 = 17,558 : x
  2. Step 2: Convert to fraction form
    32,462/44,797.60 = 17,558/x
  3. Step 3: Cross multiply
    32,462x = 44,797.60 × 17,558
  4. Step 4: Simplify right side
    32,462x = 786,556,260.80
  5. Step 5: Solve for x
    x = 786,556,260.80/32,462
  6. Step 6: Final answer
    x = 24,230.06

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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.