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Finding the Fourth Proportional to 34,614.54, 51,916.95 and 12,424.86

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Solution

The fourth proportional to 34,614.54, 51,916.95 and 12,424.86 is: 18,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614.54 : 51,916.95 = 12,424.86 : x
  2. Step 2: Convert to fraction form
    34,614.54/51,916.95 = 12,424.86/x
  3. Step 3: Cross multiply
    34,614.54x = 51,916.95 × 12,424.86
  4. Step 4: Simplify right side
    34,614.54x = 645,060,835.38
  5. Step 5: Solve for x
    x = 645,060,835.38/34,614.54
  6. Step 6: Final answer
    x = 18,635.55

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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.