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Finding the Fourth Proportional to 78,967.50, 118,471.80 and 23,563.50

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Solution

The fourth proportional to 78,967.50, 118,471.80 and 23,563.50 is: 35,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,967.50 : 118,471.80 = 23,563.50 : x
  2. Step 2: Convert to fraction form
    78,967.50/118,471.80 = 23,563.50/x
  3. Step 3: Cross multiply
    78,967.50x = 118,471.80 × 23,563.50
  4. Step 4: Simplify right side
    78,967.50x = 2,791,610,259.30
  5. Step 5: Solve for x
    x = 2,791,610,259.30/78,967.50
  6. Step 6: Final answer
    x = 35,351.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.