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Finding the Fourth Proportional to 65,027.88, 89,748.01 and 38,185.09

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Solution

The fourth proportional to 65,027.88, 89,748.01 and 38,185.09 is: 52,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,027.88 : 89,748.01 = 38,185.09 : x
  2. Step 2: Convert to fraction form
    65,027.88/89,748.01 = 38,185.09/x
  3. Step 3: Cross multiply
    65,027.88x = 89,748.01 × 38,185.09
  4. Step 4: Simplify right side
    65,027.88x = 3,427,035,743.71
  5. Step 5: Solve for x
    x = 3,427,035,743.71/65,027.88
  6. Step 6: Final answer
    x = 52,701.02

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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.