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Finding the Fourth Proportional to 130,629, 195,944.46 and 32,133

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Solution

The fourth proportional to 130,629, 195,944.46 and 32,133 is: 48,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,629 : 195,944.46 = 32,133 : x
  2. Step 2: Convert to fraction form
    130,629/195,944.46 = 32,133/x
  3. Step 3: Cross multiply
    130,629x = 195,944.46 × 32,133
  4. Step 4: Simplify right side
    130,629x = 6,296,283,333.18
  5. Step 5: Solve for x
    x = 6,296,283,333.18/130,629
  6. Step 6: Final answer
    x = 48,199.74

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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.