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Finding the Fourth Proportional to 38,069.60, 52,485.71 and 31,238.60

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Solution

The fourth proportional to 38,069.60, 52,485.71 and 31,238.60 is: 43,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,069.60 : 52,485.71 = 31,238.60 : x
  2. Step 2: Convert to fraction form
    38,069.60/52,485.71 = 31,238.60/x
  3. Step 3: Cross multiply
    38,069.60x = 52,485.71 × 31,238.60
  4. Step 4: Simplify right side
    38,069.60x = 1,639,579,681.78
  5. Step 5: Solve for x
    x = 1,639,579,681.78/38,069.60
  6. Step 6: Final answer
    x = 43,067.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.