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Finding the Fourth Proportional to 31,573.60, 47,358.54 and 11,850.50

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Solution

The fourth proportional to 31,573.60, 47,358.54 and 11,850.50 is: 17,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,573.60 : 47,358.54 = 11,850.50 : x
  2. Step 2: Convert to fraction form
    31,573.60/47,358.54 = 11,850.50/x
  3. Step 3: Cross multiply
    31,573.60x = 47,358.54 × 11,850.50
  4. Step 4: Simplify right side
    31,573.60x = 561,222,378.27
  5. Step 5: Solve for x
    x = 561,222,378.27/31,573.60
  6. Step 6: Final answer
    x = 17,775.05

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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.