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Finding the Fourth Proportional to 34,070.70, 51,049.33 and 11,871.84

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Solution

The fourth proportional to 34,070.70, 51,049.33 and 11,871.84 is: 17,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,070.70 : 51,049.33 = 11,871.84 : x
  2. Step 2: Convert to fraction form
    34,070.70/51,049.33 = 11,871.84/x
  3. Step 3: Cross multiply
    34,070.70x = 51,049.33 × 11,871.84
  4. Step 4: Simplify right side
    34,070.70x = 606,049,477.87
  5. Step 5: Solve for x
    x = 606,049,477.87/34,070.70
  6. Step 6: Final answer
    x = 17,788.00

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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.