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Finding the Fourth Proportional to 38,305.98, 57,452.40 and 10,597.50

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Solution

The fourth proportional to 38,305.98, 57,452.40 and 10,597.50 is: 15,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,305.98 : 57,452.40 = 10,597.50 : x
  2. Step 2: Convert to fraction form
    38,305.98/57,452.40 = 10,597.50/x
  3. Step 3: Cross multiply
    38,305.98x = 57,452.40 × 10,597.50
  4. Step 4: Simplify right side
    38,305.98x = 608,851,809
  5. Step 5: Solve for x
    x = 608,851,809/38,305.98
  6. Step 6: Final answer
    x = 15,894.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.