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Finding the Fourth Proportional to 72,077.84, 108,116.50 and 19,487.31

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Solution

The fourth proportional to 72,077.84, 108,116.50 and 19,487.31 is: 29,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,077.84 : 108,116.50 = 19,487.31 : x
  2. Step 2: Convert to fraction form
    72,077.84/108,116.50 = 19,487.31/x
  3. Step 3: Cross multiply
    72,077.84x = 108,116.50 × 19,487.31
  4. Step 4: Simplify right side
    72,077.84x = 2,106,899,751.62
  5. Step 5: Solve for x
    x = 2,106,899,751.62/72,077.84
  6. Step 6: Final answer
    x = 29,230.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.