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Finding the Fourth Proportional to 130,012.50, 195,018.78 and 31,516.50

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Solution

The fourth proportional to 130,012.50, 195,018.78 and 31,516.50 is: 47,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,012.50 : 195,018.78 = 31,516.50 : x
  2. Step 2: Convert to fraction form
    130,012.50/195,018.78 = 31,516.50/x
  3. Step 3: Cross multiply
    130,012.50x = 195,018.78 × 31,516.50
  4. Step 4: Simplify right side
    130,012.50x = 6,146,309,379.87
  5. Step 5: Solve for x
    x = 6,146,309,379.87/130,012.50
  6. Step 6: Final answer
    x = 47,274.76

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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.