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Finding the Fourth Proportional to 31,503.25, 47,238.47 and 14,858.82

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Solution

The fourth proportional to 31,503.25, 47,238.47 and 14,858.82 is: 22,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.25 : 47,238.47 = 14,858.82 : x
  2. Step 2: Convert to fraction form
    31,503.25/47,238.47 = 14,858.82/x
  3. Step 3: Cross multiply
    31,503.25x = 47,238.47 × 14,858.82
  4. Step 4: Simplify right side
    31,503.25x = 701,907,922.81
  5. Step 5: Solve for x
    x = 701,907,922.81/31,503.25
  6. Step 6: Final answer
    x = 22,280.49

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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.