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Finding the Fourth Proportional to 34,173.74, 51,260.62 and 10,802

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Solution

The fourth proportional to 34,173.74, 51,260.62 and 10,802 is: 16,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,173.74 : 51,260.62 = 10,802 : x
  2. Step 2: Convert to fraction form
    34,173.74/51,260.62 = 10,802/x
  3. Step 3: Cross multiply
    34,173.74x = 51,260.62 × 10,802
  4. Step 4: Simplify right side
    34,173.74x = 553,717,217.24
  5. Step 5: Solve for x
    x = 553,717,217.24/34,173.74
  6. Step 6: Final answer
    x = 16,203.00

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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.