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Finding the Fourth Proportional to 34,102.84, 51,121.20 and 17,470.72

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Solution

The fourth proportional to 34,102.84, 51,121.20 and 17,470.72 is: 26,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.84 : 51,121.20 = 17,470.72 : x
  2. Step 2: Convert to fraction form
    34,102.84/51,121.20 = 17,470.72/x
  3. Step 3: Cross multiply
    34,102.84x = 51,121.20 × 17,470.72
  4. Step 4: Simplify right side
    34,102.84x = 893,124,171.26
  5. Step 5: Solve for x
    x = 893,124,171.26/34,102.84
  6. Step 6: Final answer
    x = 26,189.14

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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.