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Finding the Fourth Proportional to 65,022.80, 97,534.20 and 25,566.80

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Solution

The fourth proportional to 65,022.80, 97,534.20 and 25,566.80 is: 38,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.80 : 97,534.20 = 25,566.80 : x
  2. Step 2: Convert to fraction form
    65,022.80/97,534.20 = 25,566.80/x
  3. Step 3: Cross multiply
    65,022.80x = 97,534.20 × 25,566.80
  4. Step 4: Simplify right side
    65,022.80x = 2,493,637,384.56
  5. Step 5: Solve for x
    x = 2,493,637,384.56/65,022.80
  6. Step 6: Final answer
    x = 38,350.20

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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.