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Finding the Fourth Proportional to 49,804.54, 74,717.76 and 14,746.94

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Solution

The fourth proportional to 49,804.54, 74,717.76 and 14,746.94 is: 22,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,804.54 : 74,717.76 = 14,746.94 : x
  2. Step 2: Convert to fraction form
    49,804.54/74,717.76 = 14,746.94/x
  3. Step 3: Cross multiply
    49,804.54x = 74,717.76 × 14,746.94
  4. Step 4: Simplify right side
    49,804.54x = 1,101,858,323.65
  5. Step 5: Solve for x
    x = 1,101,858,323.65/49,804.54
  6. Step 6: Final answer
    x = 22,123.65

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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.