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Finding the Fourth Proportional to 31,422.49, 47,123.71 and 10,358.60

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Solution

The fourth proportional to 31,422.49, 47,123.71 and 10,358.60 is: 15,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422.49 : 47,123.71 = 10,358.60 : x
  2. Step 2: Convert to fraction form
    31,422.49/47,123.71 = 10,358.60/x
  3. Step 3: Cross multiply
    31,422.49x = 47,123.71 × 10,358.60
  4. Step 4: Simplify right side
    31,422.49x = 488,135,662.41
  5. Step 5: Solve for x
    x = 488,135,662.41/31,422.49
  6. Step 6: Final answer
    x = 15,534.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.