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Finding the Fourth Proportional to 32,092.63, 44,289.38 and 17,752.39

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Solution

The fourth proportional to 32,092.63, 44,289.38 and 17,752.39 is: 24,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.63 : 44,289.38 = 17,752.39 : x
  2. Step 2: Convert to fraction form
    32,092.63/44,289.38 = 17,752.39/x
  3. Step 3: Cross multiply
    32,092.63x = 44,289.38 × 17,752.39
  4. Step 4: Simplify right side
    32,092.63x = 786,242,346.62
  5. Step 5: Solve for x
    x = 786,242,346.62/32,092.63
  6. Step 6: Final answer
    x = 24,499.16

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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.