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Finding the Fourth Proportional to 130,475.50, 195,713.26 and 31,979.50

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Solution

The fourth proportional to 130,475.50, 195,713.26 and 31,979.50 is: 47,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,475.50 : 195,713.26 = 31,979.50 : x
  2. Step 2: Convert to fraction form
    130,475.50/195,713.26 = 31,979.50/x
  3. Step 3: Cross multiply
    130,475.50x = 195,713.26 × 31,979.50
  4. Step 4: Simplify right side
    130,475.50x = 6,258,812,198.17
  5. Step 5: Solve for x
    x = 6,258,812,198.17/130,475.50
  6. Step 6: Final answer
    x = 47,969.25

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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.