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Finding the Fourth Proportional to 76,812.68, 115,239.95 and 23,503.50

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Solution

The fourth proportional to 76,812.68, 115,239.95 and 23,503.50 is: 35,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,812.68 : 115,239.95 = 23,503.50 : x
  2. Step 2: Convert to fraction form
    76,812.68/115,239.95 = 23,503.50/x
  3. Step 3: Cross multiply
    76,812.68x = 115,239.95 × 23,503.50
  4. Step 4: Simplify right side
    76,812.68x = 2,708,542,164.83
  5. Step 5: Solve for x
    x = 2,708,542,164.83/76,812.68
  6. Step 6: Final answer
    x = 35,261.65

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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.