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Finding the Fourth Proportional to 31,003.97, 46,503.45 and 9,938.36

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Solution

The fourth proportional to 31,003.97, 46,503.45 and 9,938.36 is: 14,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003.97 : 46,503.45 = 9,938.36 : x
  2. Step 2: Convert to fraction form
    31,003.97/46,503.45 = 9,938.36/x
  3. Step 3: Cross multiply
    31,003.97x = 46,503.45 × 9,938.36
  4. Step 4: Simplify right side
    31,003.97x = 462,168,143.60
  5. Step 5: Solve for x
    x = 462,168,143.60/31,003.97
  6. Step 6: Final answer
    x = 14,906.74

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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.