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Finding the Fourth Proportional to 65,191.32, 89,964.01 and 35,383.32

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Solution

The fourth proportional to 65,191.32, 89,964.01 and 35,383.32 is: 48,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.32 : 89,964.01 = 35,383.32 : x
  2. Step 2: Convert to fraction form
    65,191.32/89,964.01 = 35,383.32/x
  3. Step 3: Cross multiply
    65,191.32x = 89,964.01 × 35,383.32
  4. Step 4: Simplify right side
    65,191.32x = 3,183,225,354.31
  5. Step 5: Solve for x
    x = 3,183,225,354.31/65,191.32
  6. Step 6: Final answer
    x = 48,828.98

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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.