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Finding the Fourth Proportional to 34,147.74, 51,221.61 and 10,776

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Solution

The fourth proportional to 34,147.74, 51,221.61 and 10,776 is: 16,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147.74 : 51,221.61 = 10,776 : x
  2. Step 2: Convert to fraction form
    34,147.74/51,221.61 = 10,776/x
  3. Step 3: Cross multiply
    34,147.74x = 51,221.61 × 10,776
  4. Step 4: Simplify right side
    34,147.74x = 551,964,069.36
  5. Step 5: Solve for x
    x = 551,964,069.36/34,147.74
  6. Step 6: Final answer
    x = 16,164.00

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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.