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Finding the Fourth Proportional to 51,398.47, 70,930.38 and 30,178.09

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Solution

The fourth proportional to 51,398.47, 70,930.38 and 30,178.09 is: 41,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,398.47 : 70,930.38 = 30,178.09 : x
  2. Step 2: Convert to fraction form
    51,398.47/70,930.38 = 30,178.09/x
  3. Step 3: Cross multiply
    51,398.47x = 70,930.38 × 30,178.09
  4. Step 4: Simplify right side
    51,398.47x = 2,140,543,391.37
  5. Step 5: Solve for x
    x = 2,140,543,391.37/51,398.47
  6. Step 6: Final answer
    x = 41,646.05

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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.