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Finding the Fourth Proportional to 78,415.50, 117,643.23 and 23,011.50

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Solution

The fourth proportional to 78,415.50, 117,643.23 and 23,011.50 is: 34,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.50 : 117,643.23 = 23,011.50 : x
  2. Step 2: Convert to fraction form
    78,415.50/117,643.23 = 23,011.50/x
  3. Step 3: Cross multiply
    78,415.50x = 117,643.23 × 23,011.50
  4. Step 4: Simplify right side
    78,415.50x = 2,707,147,187.15
  5. Step 5: Solve for x
    x = 2,707,147,187.15/78,415.50
  6. Step 6: Final answer
    x = 34,523.11

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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.