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Finding the Fourth Proportional to 78,507.09, 117,757.86 and 22,347.50

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Solution

The fourth proportional to 78,507.09, 117,757.86 and 22,347.50 is: 33,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,507.09 : 117,757.86 = 22,347.50 : x
  2. Step 2: Convert to fraction form
    78,507.09/117,757.86 = 22,347.50/x
  3. Step 3: Cross multiply
    78,507.09x = 117,757.86 × 22,347.50
  4. Step 4: Simplify right side
    78,507.09x = 2,631,593,187.56
  5. Step 5: Solve for x
    x = 2,631,593,187.56/78,507.09
  6. Step 6: Final answer
    x = 33,520.45

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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.