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Finding the Fourth Proportional to 72,083.40, 108,141.96 and 24,699

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Solution

The fourth proportional to 72,083.40, 108,141.96 and 24,699 is: 37,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,083.40 : 108,141.96 = 24,699 : x
  2. Step 2: Convert to fraction form
    72,083.40/108,141.96 = 24,699/x
  3. Step 3: Cross multiply
    72,083.40x = 108,141.96 × 24,699
  4. Step 4: Simplify right side
    72,083.40x = 2,670,998,270.04
  5. Step 5: Solve for x
    x = 2,670,998,270.04/72,083.40
  6. Step 6: Final answer
    x = 37,054.28

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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.