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Finding the Fourth Proportional to 51,931.39, 71,663.62 and 32,821.42

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Solution

The fourth proportional to 51,931.39, 71,663.62 and 32,821.42 is: 45,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,931.39 : 71,663.62 = 32,821.42 : x
  2. Step 2: Convert to fraction form
    51,931.39/71,663.62 = 32,821.42/x
  3. Step 3: Cross multiply
    51,931.39x = 71,663.62 × 32,821.42
  4. Step 4: Simplify right side
    51,931.39x = 2,352,101,770.74
  5. Step 5: Solve for x
    x = 2,352,101,770.74/51,931.39
  6. Step 6: Final answer
    x = 45,292.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.