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Finding the Fourth Proportional to 38,419.52, 57,328.80 and 30,431.52

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Solution

The fourth proportional to 38,419.52, 57,328.80 and 30,431.52 is: 45,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.52 : 57,328.80 = 30,431.52 : x
  2. Step 2: Convert to fraction form
    38,419.52/57,328.80 = 30,431.52/x
  3. Step 3: Cross multiply
    38,419.52x = 57,328.80 × 30,431.52
  4. Step 4: Simplify right side
    38,419.52x = 1,744,602,523.78
  5. Step 5: Solve for x
    x = 1,744,602,523.78/38,419.52
  6. Step 6: Final answer
    x = 45,409.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.