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Finding the Fourth Proportional to 32,935.78, 49,405.88 and 11,585.94

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Solution

The fourth proportional to 32,935.78, 49,405.88 and 11,585.94 is: 17,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,935.78 : 49,405.88 = 11,585.94 : x
  2. Step 2: Convert to fraction form
    32,935.78/49,405.88 = 11,585.94/x
  3. Step 3: Cross multiply
    32,935.78x = 49,405.88 × 11,585.94
  4. Step 4: Simplify right side
    32,935.78x = 572,413,561.33
  5. Step 5: Solve for x
    x = 572,413,561.33/32,935.78
  6. Step 6: Final answer
    x = 17,379.69

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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.