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Finding the Fourth Proportional to 49,897.96, 74,846.66 and 12,457.96

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Solution

The fourth proportional to 49,897.96, 74,846.66 and 12,457.96 is: 18,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,897.96 : 74,846.66 = 12,457.96 : x
  2. Step 2: Convert to fraction form
    49,897.96/74,846.66 = 12,457.96/x
  3. Step 3: Cross multiply
    49,897.96x = 74,846.66 × 12,457.96
  4. Step 4: Simplify right side
    49,897.96x = 932,436,696.41
  5. Step 5: Solve for x
    x = 932,436,696.41/49,897.96
  6. Step 6: Final answer
    x = 18,686.87

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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.