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Finding the Fourth Proportional to 76,509.20, 114,763.88 and 23,918.96

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Solution

The fourth proportional to 76,509.20, 114,763.88 and 23,918.96 is: 35,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.20 : 114,763.88 = 23,918.96 : x
  2. Step 2: Convert to fraction form
    76,509.20/114,763.88 = 23,918.96/x
  3. Step 3: Cross multiply
    76,509.20x = 114,763.88 × 23,918.96
  4. Step 4: Simplify right side
    76,509.20x = 2,745,032,655.16
  5. Step 5: Solve for x
    x = 2,745,032,655.16/76,509.20
  6. Step 6: Final answer
    x = 35,878.47

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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.