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Finding the Fourth Proportional to 65,537.72, 90,443.34 and 35,729.72

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Solution

The fourth proportional to 65,537.72, 90,443.34 and 35,729.72 is: 49,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,537.72 : 90,443.34 = 35,729.72 : x
  2. Step 2: Convert to fraction form
    65,537.72/90,443.34 = 35,729.72/x
  3. Step 3: Cross multiply
    65,537.72x = 90,443.34 × 35,729.72
  4. Step 4: Simplify right side
    65,537.72x = 3,231,515,214.06
  5. Step 5: Solve for x
    x = 3,231,515,214.06/65,537.72
  6. Step 6: Final answer
    x = 49,307.71

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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.