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Finding the Fourth Proportional to 52,640.80, 78,957.60 and 17,101.60

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Solution

The fourth proportional to 52,640.80, 78,957.60 and 17,101.60 is: 25,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,640.80 : 78,957.60 = 17,101.60 : x
  2. Step 2: Convert to fraction form
    52,640.80/78,957.60 = 17,101.60/x
  3. Step 3: Cross multiply
    52,640.80x = 78,957.60 × 17,101.60
  4. Step 4: Simplify right side
    52,640.80x = 1,350,301,292.16
  5. Step 5: Solve for x
    x = 1,350,301,292.16/52,640.80
  6. Step 6: Final answer
    x = 25,651.23

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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.