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Finding the Fourth Proportional to 76,116.84, 114,189.60 and 23,514.01

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Solution

The fourth proportional to 76,116.84, 114,189.60 and 23,514.01 is: 35,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,116.84 : 114,189.60 = 23,514.01 : x
  2. Step 2: Convert to fraction form
    76,116.84/114,189.60 = 23,514.01/x
  3. Step 3: Cross multiply
    76,116.84x = 114,189.60 × 23,514.01
  4. Step 4: Simplify right side
    76,116.84x = 2,685,055,396.30
  5. Step 5: Solve for x
    x = 2,685,055,396.30/76,116.84
  6. Step 6: Final answer
    x = 35,275.45

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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.