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Finding the Fourth Proportional to 32,092.76, 44,290.32 and 17,948

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Solution

The fourth proportional to 32,092.76, 44,290.32 and 17,948 is: 24,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.76 : 44,290.32 = 17,948 : x
  2. Step 2: Convert to fraction form
    32,092.76/44,290.32 = 17,948/x
  3. Step 3: Cross multiply
    32,092.76x = 44,290.32 × 17,948
  4. Step 4: Simplify right side
    32,092.76x = 794,922,663.36
  5. Step 5: Solve for x
    x = 794,922,663.36/32,092.76
  6. Step 6: Final answer
    x = 24,769.53

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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.