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Finding the Fourth Proportional to 34,285.84, 51,449.19 and 15,309

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Solution

The fourth proportional to 34,285.84, 51,449.19 and 15,309 is: 22,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,285.84 : 51,449.19 = 15,309 : x
  2. Step 2: Convert to fraction form
    34,285.84/51,449.19 = 15,309/x
  3. Step 3: Cross multiply
    34,285.84x = 51,449.19 × 15,309
  4. Step 4: Simplify right side
    34,285.84x = 787,635,649.71
  5. Step 5: Solve for x
    x = 787,635,649.71/34,285.84
  6. Step 6: Final answer
    x = 22,972.62

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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.