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Finding the Fourth Proportional to 84,744.32, 127,066.64 and 32,157.50

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Solution

The fourth proportional to 84,744.32, 127,066.64 and 32,157.50 is: 48,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744.32 : 127,066.64 = 32,157.50 : x
  2. Step 2: Convert to fraction form
    84,744.32/127,066.64 = 32,157.50/x
  3. Step 3: Cross multiply
    84,744.32x = 127,066.64 × 32,157.50
  4. Step 4: Simplify right side
    84,744.32x = 4,086,145,475.80
  5. Step 5: Solve for x
    x = 4,086,145,475.80/84,744.32
  6. Step 6: Final answer
    x = 48,217.34

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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.