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Finding the Fourth Proportional to 78,509.09, 117,760.86 and 22,349.50

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Solution

The fourth proportional to 78,509.09, 117,760.86 and 22,349.50 is: 33,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.09 : 117,760.86 = 22,349.50 : x
  2. Step 2: Convert to fraction form
    78,509.09/117,760.86 = 22,349.50/x
  3. Step 3: Cross multiply
    78,509.09x = 117,760.86 × 22,349.50
  4. Step 4: Simplify right side
    78,509.09x = 2,631,896,340.57
  5. Step 5: Solve for x
    x = 2,631,896,340.57/78,509.09
  6. Step 6: Final answer
    x = 33,523.46

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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.