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Finding the Fourth Proportional to 130,512.40, 195,768.60 and 32,016.40

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Solution

The fourth proportional to 130,512.40, 195,768.60 and 32,016.40 is: 48,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,512.40 : 195,768.60 = 32,016.40 : x
  2. Step 2: Convert to fraction form
    130,512.40/195,768.60 = 32,016.40/x
  3. Step 3: Cross multiply
    130,512.40x = 195,768.60 × 32,016.40
  4. Step 4: Simplify right side
    130,512.40x = 6,267,805,805.04
  5. Step 5: Solve for x
    x = 6,267,805,805.04/130,512.40
  6. Step 6: Final answer
    x = 48,024.60

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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.