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Finding the Fourth Proportional to 34,554, 51,828.95 and 20,330.47

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Solution

The fourth proportional to 34,554, 51,828.95 and 20,330.47 is: 30,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,554 : 51,828.95 = 20,330.47 : x
  2. Step 2: Convert to fraction form
    34,554/51,828.95 = 20,330.47/x
  3. Step 3: Cross multiply
    34,554x = 51,828.95 × 20,330.47
  4. Step 4: Simplify right side
    34,554x = 1,053,706,913.11
  5. Step 5: Solve for x
    x = 1,053,706,913.11/34,554
  6. Step 6: Final answer
    x = 30,494.50

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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.