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Finding the Fourth Proportional to 76,116.13, 114,161.78 and 25,537.54

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Solution

The fourth proportional to 76,116.13, 114,161.78 and 25,537.54 is: 38,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,116.13 : 114,161.78 = 25,537.54 : x
  2. Step 2: Convert to fraction form
    76,116.13/114,161.78 = 25,537.54/x
  3. Step 3: Cross multiply
    76,116.13x = 114,161.78 × 25,537.54
  4. Step 4: Simplify right side
    76,116.13x = 2,915,411,023.22
  5. Step 5: Solve for x
    x = 2,915,411,023.22/76,116.13
  6. Step 6: Final answer
    x = 38,302.14

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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.