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Finding the Fourth Proportional to 19,885.50, 29,828.43 and 6,034.50

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Solution

The fourth proportional to 19,885.50, 29,828.43 and 6,034.50 is: 9,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.50 : 29,828.43 = 6,034.50 : x
  2. Step 2: Convert to fraction form
    19,885.50/29,828.43 = 6,034.50/x
  3. Step 3: Cross multiply
    19,885.50x = 29,828.43 × 6,034.50
  4. Step 4: Simplify right side
    19,885.50x = 179,999,660.84
  5. Step 5: Solve for x
    x = 179,999,660.84/19,885.50
  6. Step 6: Final answer
    x = 9,051.80

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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.