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Finding the Fourth Proportional to 32,699.54, 49,058.40 and 11,644.40

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Solution

The fourth proportional to 32,699.54, 49,058.40 and 11,644.40 is: 17,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,699.54 : 49,058.40 = 11,644.40 : x
  2. Step 2: Convert to fraction form
    32,699.54/49,058.40 = 11,644.40/x
  3. Step 3: Cross multiply
    32,699.54x = 49,058.40 × 11,644.40
  4. Step 4: Simplify right side
    32,699.54x = 571,255,632.96
  5. Step 5: Solve for x
    x = 571,255,632.96/32,699.54
  6. Step 6: Final answer
    x = 17,469.84

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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.