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Finding the Fourth Proportional to 32,580, 44,960.45 and 18,432.54

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Solution

The fourth proportional to 32,580, 44,960.45 and 18,432.54 is: 25,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580 : 44,960.45 = 18,432.54 : x
  2. Step 2: Convert to fraction form
    32,580/44,960.45 = 18,432.54/x
  3. Step 3: Cross multiply
    32,580x = 44,960.45 × 18,432.54
  4. Step 4: Simplify right side
    32,580x = 828,735,200.88
  5. Step 5: Solve for x
    x = 828,735,200.88/32,580
  6. Step 6: Final answer
    x = 25,436.93

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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.