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Finding the Fourth Proportional to 32,804.34, 49,207.26 and 11,745.81

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Solution

The fourth proportional to 32,804.34, 49,207.26 and 11,745.81 is: 17,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804.34 : 49,207.26 = 11,745.81 : x
  2. Step 2: Convert to fraction form
    32,804.34/49,207.26 = 11,745.81/x
  3. Step 3: Cross multiply
    32,804.34x = 49,207.26 × 11,745.81
  4. Step 4: Simplify right side
    32,804.34x = 577,979,126.58
  5. Step 5: Solve for x
    x = 577,979,126.58/32,804.34
  6. Step 6: Final answer
    x = 17,618.98

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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.