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Finding the Fourth Proportional to 130,609.44, 195,949.80 and 37,116

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Solution

The fourth proportional to 130,609.44, 195,949.80 and 37,116 is: 55,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,609.44 : 195,949.80 = 37,116 : x
  2. Step 2: Convert to fraction form
    130,609.44/195,949.80 = 37,116/x
  3. Step 3: Cross multiply
    130,609.44x = 195,949.80 × 37,116
  4. Step 4: Simplify right side
    130,609.44x = 7,272,872,776.80
  5. Step 5: Solve for x
    x = 7,272,872,776.80/130,609.44
  6. Step 6: Final answer
    x = 55,684.13

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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.