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Finding the Fourth Proportional to 65,008.24, 89,710.92 and 35,200.24

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Solution

The fourth proportional to 65,008.24, 89,710.92 and 35,200.24 is: 48,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,008.24 : 89,710.92 = 35,200.24 : x
  2. Step 2: Convert to fraction form
    65,008.24/89,710.92 = 35,200.24/x
  3. Step 3: Cross multiply
    65,008.24x = 89,710.92 × 35,200.24
  4. Step 4: Simplify right side
    65,008.24x = 3,157,845,914.62
  5. Step 5: Solve for x
    x = 3,157,845,914.62/65,008.24
  6. Step 6: Final answer
    x = 48,576.09

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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.