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Finding the Fourth Proportional to 38,458.40, 57,681.60 and 12,169.60

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Solution

The fourth proportional to 38,458.40, 57,681.60 and 12,169.60 is: 18,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.40 : 57,681.60 = 12,169.60 : x
  2. Step 2: Convert to fraction form
    38,458.40/57,681.60 = 12,169.60/x
  3. Step 3: Cross multiply
    38,458.40x = 57,681.60 × 12,169.60
  4. Step 4: Simplify right side
    38,458.40x = 701,961,999.36
  5. Step 5: Solve for x
    x = 701,961,999.36/38,458.40
  6. Step 6: Final answer
    x = 18,252.50

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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.