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Finding the Fourth Proportional to 65,447.04, 98,199.72 and 34,275

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Solution

The fourth proportional to 65,447.04, 98,199.72 and 34,275 is: 51,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,447.04 : 98,199.72 = 34,275 : x
  2. Step 2: Convert to fraction form
    65,447.04/98,199.72 = 34,275/x
  3. Step 3: Cross multiply
    65,447.04x = 98,199.72 × 34,275
  4. Step 4: Simplify right side
    65,447.04x = 3,365,795,403
  5. Step 5: Solve for x
    x = 3,365,795,403/65,447.04
  6. Step 6: Final answer
    x = 51,427.77

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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.