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Finding the Fourth Proportional to 78,772.50, 118,178.19 and 23,368.50

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Solution

The fourth proportional to 78,772.50, 118,178.19 and 23,368.50 is: 35,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772.50 : 118,178.19 = 23,368.50 : x
  2. Step 2: Convert to fraction form
    78,772.50/118,178.19 = 23,368.50/x
  3. Step 3: Cross multiply
    78,772.50x = 118,178.19 × 23,368.50
  4. Step 4: Simplify right side
    78,772.50x = 2,761,647,033.02
  5. Step 5: Solve for x
    x = 2,761,647,033.02/78,772.50
  6. Step 6: Final answer
    x = 35,058.52

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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.