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Finding the Fourth Proportional to 34,288.68, 51,438.72 and 11,798.46

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Solution

The fourth proportional to 34,288.68, 51,438.72 and 11,798.46 is: 17,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,288.68 : 51,438.72 = 11,798.46 : x
  2. Step 2: Convert to fraction form
    34,288.68/51,438.72 = 11,798.46/x
  3. Step 3: Cross multiply
    34,288.68x = 51,438.72 × 11,798.46
  4. Step 4: Simplify right side
    34,288.68x = 606,897,680.37
  5. Step 5: Solve for x
    x = 606,897,680.37/34,288.68
  6. Step 6: Final answer
    x = 17,699.65

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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.