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Finding the Fourth Proportional to 38,464.40, 57,690.60 and 12,175.60

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Solution

The fourth proportional to 38,464.40, 57,690.60 and 12,175.60 is: 18,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.40 : 57,690.60 = 12,175.60 : x
  2. Step 2: Convert to fraction form
    38,464.40/57,690.60 = 12,175.60/x
  3. Step 3: Cross multiply
    38,464.40x = 57,690.60 × 12,175.60
  4. Step 4: Simplify right side
    38,464.40x = 702,417,669.36
  5. Step 5: Solve for x
    x = 702,417,669.36/38,464.40
  6. Step 6: Final answer
    x = 18,261.50

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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.