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Finding the Fourth Proportional to 30,807.34, 42,514.06 and 17,378.54

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Solution

The fourth proportional to 30,807.34, 42,514.06 and 17,378.54 is: 23,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.34 : 42,514.06 = 17,378.54 : x
  2. Step 2: Convert to fraction form
    30,807.34/42,514.06 = 17,378.54/x
  3. Step 3: Cross multiply
    30,807.34x = 42,514.06 × 17,378.54
  4. Step 4: Simplify right side
    30,807.34x = 738,832,292.27
  5. Step 5: Solve for x
    x = 738,832,292.27/30,807.34
  6. Step 6: Final answer
    x = 23,982.35

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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.