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Finding the Fourth Proportional to 78,971.94, 118,476.63 and 23,566.50

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Solution

The fourth proportional to 78,971.94, 118,476.63 and 23,566.50 is: 35,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,971.94 : 118,476.63 = 23,566.50 : x
  2. Step 2: Convert to fraction form
    78,971.94/118,476.63 = 23,566.50/x
  3. Step 3: Cross multiply
    78,971.94x = 118,476.63 × 23,566.50
  4. Step 4: Simplify right side
    78,971.94x = 2,792,079,500.90
  5. Step 5: Solve for x
    x = 2,792,079,500.90/78,971.94
  6. Step 6: Final answer
    x = 35,355.34

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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.