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Finding the Fourth Proportional to 53,371.98, 73,654.11 and 31,015.98

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Solution

The fourth proportional to 53,371.98, 73,654.11 and 31,015.98 is: 42,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,371.98 : 73,654.11 = 31,015.98 : x
  2. Step 2: Convert to fraction form
    53,371.98/73,654.11 = 31,015.98/x
  3. Step 3: Cross multiply
    53,371.98x = 73,654.11 × 31,015.98
  4. Step 4: Simplify right side
    53,371.98x = 2,284,454,402.68
  5. Step 5: Solve for x
    x = 2,284,454,402.68/53,371.98
  6. Step 6: Final answer
    x = 42,802.50

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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.