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Finding the Fourth Proportional to 30,948.68, 42,719.34 and 18,201.31

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Solution

The fourth proportional to 30,948.68, 42,719.34 and 18,201.31 is: 25,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948.68 : 42,719.34 = 18,201.31 : x
  2. Step 2: Convert to fraction form
    30,948.68/42,719.34 = 18,201.31/x
  3. Step 3: Cross multiply
    30,948.68x = 42,719.34 × 18,201.31
  4. Step 4: Simplify right side
    30,948.68x = 777,547,736.74
  5. Step 5: Solve for x
    x = 777,547,736.74/30,948.68
  6. Step 6: Final answer
    x = 25,123.78

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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.