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Finding the Fourth Proportional to 76,135.50, 114,208.65 and 23,538.15

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Solution

The fourth proportional to 76,135.50, 114,208.65 and 23,538.15 is: 35,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,135.50 : 114,208.65 = 23,538.15 : x
  2. Step 2: Convert to fraction form
    76,135.50/114,208.65 = 23,538.15/x
  3. Step 3: Cross multiply
    76,135.50x = 114,208.65 × 23,538.15
  4. Step 4: Simplify right side
    76,135.50x = 2,688,260,335.00
  5. Step 5: Solve for x
    x = 2,688,260,335.00/76,135.50
  6. Step 6: Final answer
    x = 35,308.89

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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.