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Finding the Fourth Proportional to 65,107.30, 97,693.35 and 25,665.70

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Solution

The fourth proportional to 65,107.30, 97,693.35 and 25,665.70 is: 38,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.30 : 97,693.35 = 25,665.70 : x
  2. Step 2: Convert to fraction form
    65,107.30/97,693.35 = 25,665.70/x
  3. Step 3: Cross multiply
    65,107.30x = 97,693.35 × 25,665.70
  4. Step 4: Simplify right side
    65,107.30x = 2,507,368,213.10
  5. Step 5: Solve for x
    x = 2,507,368,213.10/65,107.30
  6. Step 6: Final answer
    x = 38,511.32

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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.