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Finding the Fourth Proportional to 65,713.80, 98,570.70 and 65,022.60

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Solution

The fourth proportional to 65,713.80, 98,570.70 and 65,022.60 is: 97,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.80 : 98,570.70 = 65,022.60 : x
  2. Step 2: Convert to fraction form
    65,713.80/98,570.70 = 65,022.60/x
  3. Step 3: Cross multiply
    65,713.80x = 98,570.70 × 65,022.60
  4. Step 4: Simplify right side
    65,713.80x = 6,409,323,197.82
  5. Step 5: Solve for x
    x = 6,409,323,197.82/65,713.80
  6. Step 6: Final answer
    x = 97,533.90

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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.