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Finding the Fourth Proportional to 34,436, 51,605.52 and 27,384.74

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Solution

The fourth proportional to 34,436, 51,605.52 and 27,384.74 is: 41,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,436 : 51,605.52 = 27,384.74 : x
  2. Step 2: Convert to fraction form
    34,436/51,605.52 = 27,384.74/x
  3. Step 3: Cross multiply
    34,436x = 51,605.52 × 27,384.74
  4. Step 4: Simplify right side
    34,436x = 1,413,203,747.76
  5. Step 5: Solve for x
    x = 1,413,203,747.76/34,436
  6. Step 6: Final answer
    x = 41,038.56

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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.