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Finding the Fourth Proportional to 34,076.72, 51,123.36 and 13,017.80

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Solution

The fourth proportional to 34,076.72, 51,123.36 and 13,017.80 is: 19,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076.72 : 51,123.36 = 13,017.80 : x
  2. Step 2: Convert to fraction form
    34,076.72/51,123.36 = 13,017.80/x
  3. Step 3: Cross multiply
    34,076.72x = 51,123.36 × 13,017.80
  4. Step 4: Simplify right side
    34,076.72x = 665,513,675.81
  5. Step 5: Solve for x
    x = 665,513,675.81/34,076.72
  6. Step 6: Final answer
    x = 19,529.86

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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.