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Finding the Fourth Proportional to 34,654.09, 51,984.31 and 9,694.07

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Solution

The fourth proportional to 34,654.09, 51,984.31 and 9,694.07 is: 14,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.09 : 51,984.31 = 9,694.07 : x
  2. Step 2: Convert to fraction form
    34,654.09/51,984.31 = 9,694.07/x
  3. Step 3: Cross multiply
    34,654.09x = 51,984.31 × 9,694.07
  4. Step 4: Simplify right side
    34,654.09x = 503,939,543.76
  5. Step 5: Solve for x
    x = 503,939,543.76/34,654.09
  6. Step 6: Final answer
    x = 14,541.99

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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.