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Finding the Fourth Proportional to 49,447.92, 74,211.74 and 25,762.71

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Solution

The fourth proportional to 49,447.92, 74,211.74 and 25,762.71 is: 38,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,447.92 : 74,211.74 = 25,762.71 : x
  2. Step 2: Convert to fraction form
    49,447.92/74,211.74 = 25,762.71/x
  3. Step 3: Cross multiply
    49,447.92x = 74,211.74 × 25,762.71
  4. Step 4: Simplify right side
    49,447.92x = 1,911,895,536.22
  5. Step 5: Solve for x
    x = 1,911,895,536.22/49,447.92
  6. Step 6: Final answer
    x = 38,664.83

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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.