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Finding the Fourth Proportional to 34,186, 51,303.30 and 13,409.50

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Solution

The fourth proportional to 34,186, 51,303.30 and 13,409.50 is: 20,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,186 : 51,303.30 = 13,409.50 : x
  2. Step 2: Convert to fraction form
    34,186/51,303.30 = 13,409.50/x
  3. Step 3: Cross multiply
    34,186x = 51,303.30 × 13,409.50
  4. Step 4: Simplify right side
    34,186x = 687,951,601.35
  5. Step 5: Solve for x
    x = 687,951,601.35/34,186
  6. Step 6: Final answer
    x = 20,123.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.